Paper Citation Record · LEDGER

One-dimensionality of certain cocycles for the detection of the Johnson cokernel

As of 19 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2507.20492.

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

pith.paper-citation-record.v1
2507.20492 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:58:39.418346Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

28 of 28 outbound references displayed

verified exact15
verified fuzzy2
unresolved10
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0a4d654f-ace0-4440-8584-a79bf8b29d09 · outbound

This paper cites The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in higher genera.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in higher genera

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T17:58:38.828354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d8d202e-393e-4142-8cd6-a2b72d20ec73 · outbound

This paper cites The rational cohomology of the mapping class group vanishes in its virtual cohomological dimension.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel The rational cohomology of the mapping class group vanishes in its virtual cohomological dimension

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:58:40.507402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bf004893-e5fa-4d79-814f-f148bea869d2 · outbound

This paper cites Hopf Algebras and Invariants of the Johnson Cokernel.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel Hopf Algebras and Invariants of the Johnson Cokernel

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:58:40.483862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 50e55a37-a7a9-4bac-b151-64f37646c57d · outbound

This paper cites Hairy graphs and the unstable homology of Mod(g,s), Out(F_n) and Aut(F_n).

One-dimensionality of certain cocycles for the detection of the Johnson cokernel Hairy graphs and the unstable homology of Mod(g,s), Out(F_n) and Aut(F_n)

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:58:40.457606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7a128037-500c-464c-8acc-82acadf59f5f · outbound

This paper cites Higher hairy graph homology.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel Higher hairy graph homology

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:58:40.338589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2c3fda15-0a62-4362-bbee-413135eaf514 · outbound

This paper cites The Johnson Cokernel and the Enomoto-Satoh invariant.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel The Johnson Cokernel and the Enomoto-Satoh invariant

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:58:40.315796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3401dbba-6ad0-4501-87da-83e0690f7c25 · outbound

This paper cites New series in the Johnson cokernels of the mapping class groups of surfaces.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel New series in the Johnson cokernels of the mapping class groups of surfaces

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:58:40.294145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7f6c24e8-baca-4af5-8f8a-83ec6bcb76a5 · outbound

This paper cites Stable cohomology of graph complexes.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel Stable cohomology of graph complexes

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:58:40.202069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 92d11155-d71e-4564-a636-b6cb7e0fbddd · outbound

This paper cites Graph complexes and the symplectic character of the Torelli group.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel Graph complexes and the symplectic character of the Torelli group

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:58:40.161679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a38f4592-b870-42d1-906d-e8913aac71d4 · outbound

This paper cites Completions of mapping class groups and the cycle $C - C^-$.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel Completions of mapping class groups and the cycle $C - C^-$

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:58:40.137598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e9bc7466-471d-46fb-86b4-92c13bf07541 · outbound

This paper cites Infinitesimal presentations of the Torelli groups.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel Infinitesimal presentations of the Torelli groups

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T17:58:39.054869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6aaa9c28-8728-42be-9d7e-ae6cc7cc6bf9 · outbound

This paper cites an unresolved cited work.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T17:58:39.061194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37fe0297-5c18-44df-b0f7-5aac3ec91bd5 · outbound

This paper cites Characteristic classes of $\ai$-algebras.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel Characteristic classes of $\ai$-algebras

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:58:39.975766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ea980e13-2f10-4745-bbb0-8afdc0a53a17 · outbound

This paper cites An abelian quotient of the mapping class group I _g.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel An abelian quotient of the mapping class group I _g

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:58:40.615513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 366fdec0-45d2-43f0-aab4-d0196f881a57 · outbound

This paper cites A survey of the T orelli group.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel A survey of the T orelli group

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:58:40.584290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0e6f13b1-8fa1-4552-bd80-349dd433b48f · outbound

This paper cites The Goldman-Turaev Lie bialgebra and the Johnson homomorphisms.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel The Goldman-Turaev Lie bialgebra and the Johnson homomorphisms

Reference 16

Resolution: malformed identifier; no resolver link, observed 2026-08-15T17:58:39.083219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1fbff11-f5d4-4326-bb37-296e426d03fb · outbound

This paper cites On the Torelli Lie algebra.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel On the Torelli Lie algebra

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:58:39.937929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cae908e2-11ec-41df-89e8-b8d4b9684213 · outbound

This paper cites Abelian quotients of subgroups of the mapping class group of surfaces.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel Abelian quotients of subgroups of the mapping class group of surfaces

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T17:58:39.099589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48863de4-d357-4cb8-aab1-98958785e0fa · outbound

This paper cites Cohomological structure of the mapping class group and beyond.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel Cohomological structure of the mapping class group and beyond

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:58:39.810870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4d22e49d-6c75-489c-9876-f39cea193281 · outbound

This paper cites Ribbon Graphs, Quadratic Differentials on Riemann Surfaces, and Algebraic Curves Defined over $\bar Q$.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel Ribbon Graphs, Quadratic Differentials on Riemann Surfaces, and Algebraic Curves Defined over $\bar Q$

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T17:58:39.284298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 644a4b5f-8b26-49ae-a9df-efa63ac2ae9b · outbound

This paper cites Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:58:39.669442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0a31ade1-dd0d-44b3-8588-01f92900b76d · outbound

This paper cites Structure of symplectic invariant Lie subalgebras of symplectic derivation Lie algebras.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel Structure of symplectic invariant Lie subalgebras of symplectic derivation Lie algebras

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:58:39.646381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7d3760c4-0caf-4ae3-aa6a-5f95f532a224 · outbound

This paper cites Deformation theory of representations of prop(erad)s.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel Deformation theory of representations of prop(erad)s

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T17:58:39.389395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d76c8a23-f252-48e9-82e9-7794e4e843fe · outbound

This paper cites Props of ribbon graphs, involutive Lie bialgebras and moduli spaces of curves.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel Props of ribbon graphs, involutive Lie bialgebras and moduli spaces of curves

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T17:58:39.396138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc4f2284-cf82-439c-949f-af4651e75cbb · outbound

This paper cites On the lower central series of the IA -automorphism group of a free group.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel On the lower central series of the IA -automorphism group of a free group

Reference 25

Resolution: verified exact; doi, observed 2026-08-15T17:58:39.457911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 384a0efa-ca98-46a3-a4ff-3535c93f0023 · outbound

This paper cites A Hopf algebra quantizing a necklace Lie algebra canonically associated to a quiver.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel A Hopf algebra quantizing a necklace Lie algebra canonically associated to a quiver

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T17:58:39.405966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84a9bfdd-9746-4acf-982a-14fca3bfdf20 · outbound

This paper cites A family of algebraic operations extending the Turaev cobracket.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel A family of algebraic operations extending the Turaev cobracket

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-15T17:58:39.411167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 210026ce-d92c-40ae-b98c-b6c80b600741 · outbound

This paper cites A Koszul duality for props.

One-dimensionality of certain cocycles for the detection of the Johnson cokernel A Koszul duality for props

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T17:58:39.418346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

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