Paper Citation Record · LEDGER

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant

As of 14 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2607.24217.

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

pith.paper-citation-record.v1
2607.24217 v1

Coverage vector

measured 29 of 29 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-31T20:49:02.762144Z

measured 29 of 29 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

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measured 0 of 1 external citation measurements

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Reference resolution

29 of 29 outbound references displayed

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Outbound references

Observation bdb262c1-b0e9-4944-a0f6-bac7adc762f0 · outbound

This paper cites On the Vassiliev knot invariants.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant On the Vassiliev knot invariants

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.687711Z

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Observation 2644dafe-3187-41b1-afe2-bd71fdde2719 · outbound

This paper cites an unresolved cited work.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.691329Z

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Observation ef5e22f3-41fd-41c9-9dd4-b8d51774c20f · outbound

This paper cites Proof of a conjecture of Kulakova et al. related to thesl2 weight system.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Proof of a conjecture of Kulakova et al. related to thesl2 weight system

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.694449Z

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Observation 9d116007-07a0-4cd4-897c-580b5b68290f · outbound

This paper cites Chmutov, S.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Chmutov, S

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.697376Z

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Observation b7e7956f-eb3d-4aff-9688-56c2154c049a · outbound

This paper cites Vassiliev knot invariants I. Introduction.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Vassiliev knot invariants I. Introduction

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.700239Z

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Observation 2cdd3e0c-89c4-4562-8fed-eb15662531bf · outbound

This paper cites Vassiliev knot invariants II. Intersection graph conjecture for trees.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Vassiliev knot invariants II. Intersection graph conjecture for trees

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.703025Z

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Observation 978faa40-dbf1-4973-947f-0cf19e8d6523 · outbound

This paper cites Vassiliev knot invariants III. Forest algebra and weighted graphs.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Vassiliev knot invariants III. Forest algebra and weighted graphs

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.706226Z

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Observation 96b6935a-b0b2-45af-a6ff-966cece50ade · outbound

This paper cites Remarks on the Vassiliev knot invariants coming fromsl2.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Remarks on the Vassiliev knot invariants coming fromsl2

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.708705Z

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Observation fac42139-5b3a-4b7d-b16c-ce8313ae84c9 · outbound

This paper cites Mutant knots and intersection graphs.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Mutant knots and intersection graphs

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.711330Z

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Observation 401985f2-e2a9-494c-aa26-1a2920789368 · outbound

This paper cites Cycle decomposition by disjoint transpositions.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Cycle decomposition by disjoint transpositions

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.713981Z

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Observation 2503ec19-cf78-420b-9f8a-1cbce76815c2 · outbound

This paper cites On chromatic coefficients.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant On chromatic coefficients

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.716689Z

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Observation 7f3c8767-5737-4f28-87c5-a432d2c5f9da · outbound

This paper cites Thesl(2)-weight system atc= 3/8for graphs.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Thesl(2)-weight system atc= 3/8for graphs

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.719345Z

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Observation 6d94852a-7715-43c8-8d9c-0e5bca0e4016 · outbound

This paper cites 2006.url:https : / / web.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant 2006.url:https : / / web

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.721875Z

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Observation d3d2dbd8-5546-4036-867a-1ae8cb1fb5b5 · outbound

This paper cites Humphreys.Representations of Semisimple Lie Algebras in the BGG CategoryO.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Humphreys.Representations of Semisimple Lie Algebras in the BGG CategoryO

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.724689Z

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Observation b18a8ee5-292f-4bdf-b458-9f7ea29d3869 · outbound

This paper cites On the primitive subspace of Lando framed graph bialgebra.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant On the primitive subspace of Lando framed graph bialgebra

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.727277Z

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Observation 8aaa8807-2b00-4ad4-9755-3d7b7bda592f · outbound

This paper cites The space of framed chord diagrams as a Hopf module.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant The space of framed chord diagrams as a Hopf module

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.729794Z

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Observation 4964de83-20dc-4bcd-bcf3-5936d1ed9210 · outbound

This paper cites Weight systems and invariants of graphs and embedded graphs.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Weight systems and invariants of graphs and embedded graphs

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.732288Z

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Observation 4fac7b3a-7f30-4a46-b84d-7cdae428977b · outbound

This paper cites Vassiliev’s knot invariants.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Vassiliev’s knot invariants

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.735378Z

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Observation e7fb2f9b-5bc0-4569-b5cb-5f56350fb927 · outbound

This paper cites An Extension of thesl 2 Weight System to Graphs withn≤8Vertices.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant An Extension of thesl 2 Weight System to Graphs withn≤8Vertices

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.738003Z

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Observation b9c75cfe-d192-4ae6-8742-93a9cebb8417 · outbound

This paper cites On a weight system conjecturally related tosl2.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant On a weight system conjecturally related tosl2

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.740445Z

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Observation 93d1f80b-db09-4a66-a735-926b1352cf97 · outbound

This paper cites J-invariants of plane curves and framed chord diagrams.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant J-invariants of plane curves and framed chord diagrams

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.742843Z

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Observation 3e17c73c-1aac-48ca-83e0-fa3f811e4011 · outbound

This paper cites On a Hopf algebra in graph theory.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant On a Hopf algebra in graph theory

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.745166Z

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Observation a66913c7-d2c0-45c2-9e8f-83ee74c33225 · outbound

This paper cites Lando and Alexander K.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Lando and Alexander K

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.747453Z

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Observation 71a3d73b-2092-4214-a45b-fe5765e20297 · outbound

This paper cites Read and Robin J.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Read and Robin J

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.749751Z

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Observation 956ed720-ccdd-4b99-ae6d-7fe73de20a7d · outbound

This paper cites Cohomology of knot spaces.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Cohomology of knot spaces

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.751964Z

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Observation 0fced16a-6700-49d0-abc8-97136e41ad25 · outbound

This paper cites Proof of a conjecture of Fomichev and Karev.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Proof of a conjecture of Fomichev and Karev

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.754240Z

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Observation 6cc4f495-55e4-4077-8d9d-9a6d582c5806 · outbound

This paper cites Duality for the $\mathfrak{sl}_2$ weight system.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Duality for the $\mathfrak{sl}_2$ weight system

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.756685Z

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Observation 20115f9d-9427-49c5-be42-239946cdbb07 · outbound

This paper cites Значенияsl 2-весовой системы на семействе графов, не являющихся графами пере- сечений хордовых диаграмм.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Значенияsl 2-весовой системы на семействе графов, не являющихся графами пере- сечений хордовых диаграмм

Reference 28

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Observation 8879ec7f-2faa-4757-b8b8-e24fa3546c6f · outbound

This paper cites Значения весовой системы, отвечающей алгебре Лиsl 2, на полных двудольных графах.

$\mathfrak{sl}(2)$-weight system does not extend to a graph 4-invariant Значения весовой системы, отвечающей алгебре Лиsl 2, на полных двудольных графах

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-31T20:49:02.762144Z

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