Paper Citation Record · LEDGER

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism

As of 17 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2507.15445.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.15445 v1

Coverage vector

measured 45 of 45 reference resolution

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measured 45 of 45 standing notices

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

45 of 45 outbound references displayed

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External citation measurements

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Outbound references

Observation 3fc0bb54-8fe1-42a6-8c4a-ebb4c4e522e7 · outbound

This paper cites On the Morita invariance of Categorical Enumerative Invariants , 2022.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism On the Morita invariance of Categorical Enumerative Invariants , 2022

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:23.939203Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a81d0247-622a-44c9-957f-c2079917e286 · outbound

This paper cites In Preparation , 2025.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism In Preparation , 2025

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:23.777449Z

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Observation 40944c0b-e163-4d03-8c88-34977f97812e · outbound

This paper cites Noncommutative Batalin–Vilkovisky geometry and matrix integrals.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Noncommutative Batalin–Vilkovisky geometry and matrix integrals

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:23.662967Z

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Observation a113af0b-6b69-4ed3-a19c-20f70415fb5a · outbound

This paper cites Topological recursion for generalised Kontsevich graphs and r-spin intersection numbers , 2023.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Topological recursion for generalised Kontsevich graphs and r-spin intersection numbers , 2023

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:23.430585Z

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Observation 74418b75-226e-4432-8d81-860da195f287 · outbound

This paper cites Relative Calabi-Yau structures II: shifted Lagrangians in the moduli of objects.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Relative Calabi-Yau structures II: shifted Lagrangians in the moduli of objects

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:23.270788Z

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Observation 1a8d8b62-b476-4a67-87cf-6c2c9560e476 · outbound

This paper cites Homological algebra related to surfaces with boundary.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Homological algebra related to surfaces with boundary

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:23.080351Z

Source-reported events for the cited work

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Observation abc2b7e5-af53-45b4-9a67-460e7454bc49 · outbound

This paper cites Potentials of homotopy cyclic A-infinity algebras.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Potentials of homotopy cyclic A-infinity algebras

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.944095Z

Source-reported events for the cited work

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Observation 93689096-b9c7-4c50-9375-26f1caaaf37e · outbound

This paper cites Quantization of open-closed BCOV theory, I.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Quantization of open-closed BCOV theory, I

Reference 8

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Source-reported events for the cited work

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Observation 8b776155-0976-4955-9283-d8675db789c2 · outbound

This paper cites The Frobenius properad is Koszul.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism The Frobenius properad is Koszul

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.911855Z

Source-reported events for the cited work

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Observation cde17496-f27e-4434-8b18-2120661f144a · outbound

This paper cites Non-commutative differential geometry.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Non-commutative differential geometry

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.881599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 09ed5524-92ff-4fe2-8d67-b88394409106 · outbound

This paper cites Topological conformal field theories and C alabi- Y au categories.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Topological conformal field theories and C alabi- Y au categories

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.854130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7c2e2fa7-c1dc-4921-958e-2326e7c0deab · outbound

This paper cites The partition function of a topological field theory.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism The partition function of a topological field theory

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.814066Z

Source-reported events for the cited work

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Observation 1fd98c88-aed4-47d7-bc86-69384e96cb55 · outbound

This paper cites Shifted Poisson structures and deformation quantization.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Shifted Poisson structures and deformation quantization

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.773521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6f73b954-bbf1-48d5-b48d-6179181cd606 · outbound

This paper cites Computing a categorical Gromov--Witten invariant.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Computing a categorical Gromov--Witten invariant

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.739362Z

Source-reported events for the cited work

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Observation fec1be1f-079b-4eb9-be77-74848f0eaf62 · outbound

This paper cites Effective Categorical Enumerative Invariants , 2024.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Effective Categorical Enumerative Invariants , 2024

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.730740Z

Source-reported events for the cited work

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Observation 78180b01-605e-443c-be9e-938b53edce7e · outbound

This paper cites A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.723201Z

Source-reported events for the cited work

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Observation bc7ce11a-1700-46b6-a3e1-4163879ebe5c · outbound

This paper cites A homotopical description of Deligne-Mumford compactifications , 2022.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism A homotopical description of Deligne-Mumford compactifications , 2022

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.715276Z

Source-reported events for the cited work

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Observation 3be036bc-0fad-4f82-bf41-f4141733f220 · outbound

This paper cites Skeins on Branes , 2025.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Skeins on Branes , 2025

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.707582Z

Source-reported events for the cited work

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Observation 94e9758f-bfa2-4ce5-9a6c-c81d42f06b26 · outbound

This paper cites Counting pseudo-holomorphic discs in Calabi-Yau 3-folds.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Counting pseudo-holomorphic discs in Calabi-Yau 3-folds

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.700299Z

Source-reported events for the cited work

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Observation 4834d1a3-5a1c-469d-a9b7-597cd70e1f55 · outbound

This paper cites Automatically generating Fukaya categories and computing quantum cohomology , 2019.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Automatically generating Fukaya categories and computing quantum cohomology , 2019

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.692833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 82abba2d-70a3-49f1-be08-7e30dafe5eba · outbound

This paper cites Cyclic homology, S^1 –equivariant Floer cohomology and Calabi–Yau structures.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Cyclic homology, S^1 –equivariant Floer cohomology and Calabi–Yau structures

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.685503Z

Source-reported events for the cited work

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Observation 699ee0a4-7037-4ee1-a809-5b507c141ab4 · outbound

This paper cites Homotopy Batalin--Vilkovisky algebras.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Homotopy Batalin--Vilkovisky algebras

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.677241Z

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Observation c753eeb8-48d2-4a49-bc95-816489423c83 · outbound

This paper cites Large N phenomena and quantization of the Loday-Quillen-Tsygan theorem.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Large N phenomena and quantization of the Loday-Quillen-Tsygan theorem

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.670240Z

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Observation c2fe75b6-42b4-49ba-8156-cfea79f6d958 · outbound

This paper cites Modular operads.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Modular operads

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.662972Z

Source-reported events for the cited work

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Observation ee4d931d-3933-4d1d-a17e-01911a6c1600 · outbound

This paper cites On the Gauge Theory/Geometry Correspondence.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism On the Gauge Theory/Geometry Correspondence

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T15:44:22.418364Z

Source-reported events for the cited work

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Observation 6336d7bd-8ab3-4f05-8f6b-e158753ec162 · outbound

This paper cites Noncommutative effective field theories and the large N correspondence , 2025.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Noncommutative effective field theories and the large N correspondence , 2025

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.655642Z

Source-reported events for the cited work

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Observation 2417e86b-2e5b-43d4-aa90-8bc9ceb205fb · outbound

This paper cites The Batalin-Vilkovisky formalism in noncommutative effective field theory , 2025.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism The Batalin-Vilkovisky formalism in noncommutative effective field theory , 2025

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.648383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a4d36f8a-f998-4b09-b09b-dc4728a3f594 · outbound

This paper cites Open-closed moduli spaces and related algebraic structures.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Open-closed moduli spaces and related algebraic structures

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.641172Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8254edae-e4b4-410d-8fdf-cadeaaeb8511 · outbound

This paper cites Spectral sequences for cyclic homology.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Spectral sequences for cyclic homology

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.634154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1c89d079-d79b-4408-83e9-c2b6d01f12da · outbound

This paper cites Intersection theory on the moduli space of curves and the matrix A iry function.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Intersection theory on the moduli space of curves and the matrix A iry function

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.626989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 35cee2ad-374a-4ea8-abc8-6f2893a98b2a · outbound

This paper cites Feynman diagrams and low-dimensional topology.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Feynman diagrams and low-dimensional topology

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.620066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e53fd595-3558-4e3e-8aa3-97f999f2ea8a · outbound

This paper cites Homological algebra of mirror symmetry.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Homological algebra of mirror symmetry

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.613136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 579fd721-51e9-45b6-8a1f-221f41fae0a2 · outbound

This paper cites Notes on A-infinity algebras, A-infinity categories and non-commutative geometry.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Notes on A-infinity algebras, A-infinity categories and non-commutative geometry

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.606055Z

Source-reported events for the cited work

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Observation 501b1353-183b-45d2-bab6-456afd14a10f · outbound

This paper cites Moduli of J-holomorphic curves with Lagrangian boundary conditions.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Moduli of J-holomorphic curves with Lagrangian boundary conditions

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.598902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation aa43c73f-d462-479d-8412-38915c1bde89 · outbound

This paper cites On the classification of topological field theories.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism On the classification of topological field theories

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.591316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 560377db-3952-44da-a1f4-71ac038dda36 · outbound

This paper cites On the Hochschild cohomology ring of tensor products of algebras.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism On the Hochschild cohomology ring of tensor products of algebras

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.584072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ef984871-581e-4193-8256-450b6b4e5729 · outbound

This paper cites Frobenius manifolds, quantum cohomology, and moduli spaces , volume 47.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Frobenius manifolds, quantum cohomology, and moduli spaces , volume 47

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.576867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6f6ff7a7-8309-4f8f-b029-0f2355276d72 · outbound

This paper cites Fukaya category with curves of higher genus.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Fukaya category with curves of higher genus

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:44:22.495737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c25878bf-ebdc-4006-8fdf-4b041acf2cf8 · outbound

This paper cites String topology and configuration spaces of two points , 2019.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism String topology and configuration spaces of two points , 2019

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.568824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6f97877e-40d0-49f7-9b4e-e33d459a62e5 · outbound

This paper cites Disk enumeration on the quintic 3-fold.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Disk enumeration on the quintic 3-fold

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.560864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation baf3c243-6330-4c16-a0e3-d16a2a207624 · outbound

This paper cites Formulae in noncommutative Hodge theory.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Formulae in noncommutative Hodge theory

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.552498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5f242c7c-6731-45c4-b3d6-7de46e501d2f · outbound

This paper cites Quantum background independence of closed-string field theory.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Quantum background independence of closed-string field theory

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.544934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1fd557fc-71a9-4eeb-8e02-dceb8edebc49 · outbound

This paper cites Kontsevich's Cocycle Construction and the Quantized Loday-Quillen-Tsygan Theorem , 2025.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Kontsevich's Cocycle Construction and the Quantized Loday-Quillen-Tsygan Theorem , 2025

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.537246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 95494ba1-d1f5-45ef-a2de-ddf2c9dff173 · outbound

This paper cites Formality of cyclic chains.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Formality of cyclic chains

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.529138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f48bb89a-0d10-416c-a9b4-fa7762da75c5 · outbound

This paper cites Oriented Open-Closed String Theory Revisited.

Towards Open-Closed Categorical Enumerative Invariants: Circle-Action Formality Morphism Oriented Open-Closed String Theory Revisited

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:44:22.521316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

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