Paper Citation Record · LEDGER

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra

As of 12 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2501.03116.

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

pith.paper-citation-record.v1
2501.03116 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:59:31.269295Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T16:38:06.499413Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T08:26:01.764412Z

Reference resolution

22 of 22 outbound references displayed

verified exact2
verified fuzzy11
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0b9bc3c4-1c05-44ba-bfe0-b3e4b1b83e29 · outbound

This paper cites 4, 1045--1084.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra 4, 1045--1084

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:31.771124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bbf3f4f1-fe1d-4258-8080-015dd4d2d46d · outbound

This paper cites On the chain rule in Goodwillie calculus.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra On the chain rule in Goodwillie calculus

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T21:59:31.157769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac25e192-78e9-471c-bfc8-637f5c026419 · outbound

This paper cites PD Operads and Explicit Partition Lie Algebras.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra PD Operads and Explicit Partition Lie Algebras

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T21:59:31.163273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dfa70afb-e4ed-4a8b-9055-2b813bd4b8a8 · outbound

This paper cites an unresolved cited work.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:59:31.751556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a94054cd-9ad5-4372-a07a-ae3167730f1b · outbound

This paper cites an unresolved cited work.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:59:31.735754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation dbac6918-4ea9-4e32-8342-698e021dfd76 · outbound

This paper cites 2, 833--934.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra 2, 833--934

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:31.718861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f319ae90-972f-416b-8790-d61917ea5547 · outbound

This paper cites 1, 1--60.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra 1, 1--60

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:31.701385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e25ee831-dba9-47b0-88ee-498e0957c367 · outbound

This paper cites 1, 1--60.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra 1, 1--60

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:31.683720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7c0fff50-e00b-4410-9361-6a1c42984f41 · outbound

This paper cites 5, 1369--1385.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra 5, 1369--1385

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T21:59:31.197485Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddefd0bb-ad33-4bcb-9cae-e3e654a5b708 · outbound

This paper cites 11, 3621--3674.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra 11, 3621--3674

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:31.654996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d726a2f4-5784-466c-8435-f22a89dad12c · outbound

This paper cites an unresolved cited work.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:59:31.638457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 84d11bee-b12c-4a42-b2a0-8b1cc18e2f31 · outbound

This paper cites 4, 889--957.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra 4, 889--957

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:31.619982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1cb6844b-337f-471d-a4c9-53c22b5c2baf · outbound

This paper cites Heuts and Markus Land, Koszul duality of E _n -algebras and E _n -operads , to appear.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra Heuts and Markus Land, Koszul duality of E _n -algebras and E _n -operads , to appear

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:31.600578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2e4ed2bd-b658-41af-879f-935f3848140c · outbound

This paper cites Formality of $\mathbb{E}_n$-algebras and cochains on spheres.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra Formality of $\mathbb{E}_n$-algebras and cochains on spheres

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T21:59:31.226776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 436c46e9-b3e3-4938-87a4-2b3e3f5e2ead · outbound

This paper cites Theory Appl.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra Theory Appl

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:31.579060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0ebc5d5d-223b-4bf9-b65e-aa3d544772bd · outbound

This paper cites 7, 4013--4066.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra 7, 4013--4066

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:31.560013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 36f8893f-698b-4928-89d9-0763ce2186d0 · outbound

This paper cites Derived Algebraic Geometry II: Noncommutative Algebra.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra Derived Algebraic Geometry II: Noncommutative Algebra

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-10T21:59:31.242306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b08782f-f7db-4aff-98e5-2f5467ca448e · outbound

This paper cites an unresolved cited work.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:59:31.542030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 91cbb96c-3088-4703-ba42-a98bd2e9907e · outbound

This paper cites an unresolved cited work.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra Unresolved cited work

Reference 19

Resolution: verified exact; raw_fallback, observed 2026-08-10T21:59:31.412104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d8e351e1-85de-4055-936c-043975ba7a1d · outbound

This paper cites thesis, University of Oxford, 1998.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra thesis, University of Oxford, 1998

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:31.525456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b7632547-b026-410a-8f0b-1fe3782b5516 · outbound

This paper cites Trimble, Notes on the L ie operad.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra Trimble, Notes on the L ie operad

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:31.507399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d8c8e2d0-1b99-433b-af8b-80f29fce9646 · outbound

This paper cites Quillen homology of spectral Lie algebras with application to mod $p$ homology of labeled configuration spaces.

Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra Quillen homology of spectral Lie algebras with application to mod $p$ homology of labeled configuration spaces

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:59:31.316887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation 4e71c062-b6ac-493f-ae54-8daf0f4d1e67 · inbound

On periodic homotopy and homology equivalences of spaces cites this paper.

On periodic homotopy and homology equivalences of spaces Poincar\'{e}-Birkhoff-Witt Theorems in Higher Algebra

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-11T08:26:01.769841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.