Paper Citation Record · LEDGER

Injectivity of symmetric polynomial maps on partitions

As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2606.19796.

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

pith.paper-citation-record.v1
2606.19796 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T17:20:06.010184Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

23 of 23 outbound references displayed

verified exact10
verified fuzzy0
unresolved11
parse uncertain0
malformed identifier1
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8772b10d-48db-47ec-a803-d30a6c108a20 · outbound

This paper cites an unresolved cited work.

Injectivity of symmetric polynomial maps on partitions Unresolved cited work

Reference 1

Resolution: verified exact; doi, observed 2026-06-26T17:29:37.979548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8ec2a1f2-8dcd-4a95-8391-05a0846cbd9b · outbound

This paper cites an unresolved cited work.

Injectivity of symmetric polynomial maps on partitions Unresolved cited work

Reference 2

Resolution: verified exact; doi, observed 2026-06-26T17:29:37.981146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 32eed24e-788a-4bb9-966c-0c5fe229eadd · outbound

This paper cites Chute Move Posets are Lattices.

Injectivity of symmetric polynomial maps on partitions Chute Move Posets are Lattices

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-06-26T17:29:37.993541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cecf2b33-d02e-42a9-96d1-f2c0508d815d · outbound

This paper cites arXiv e-prints , keywords =.

Injectivity of symmetric polynomial maps on partitions arXiv e-prints , keywords =

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-06-26T17:29:37.999360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6dafc09d-3aae-4837-b800-0d417fa88f21 · outbound

This paper cites , TITLE =.

Injectivity of symmetric polynomial maps on partitions , TITLE =

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T17:20:06.010184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d5eb967-9f32-437d-ad20-0aa6100d6e97 · outbound

This paper cites Enumerative Combinatorics , publisher=.

Injectivity of symmetric polynomial maps on partitions Enumerative Combinatorics , publisher=

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-26T17:20:06.010184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3bf2684a-6a83-4b42-9b07-0820c2481fe8 · outbound

This paper cites and Straus, Ernst G.

Injectivity of symmetric polynomial maps on partitions and Straus, Ernst G

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T17:20:06.010184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be0952c8-7f38-4acc-ab78-82762015984a · outbound

This paper cites Selecta Mathematica , year=.

Injectivity of symmetric polynomial maps on partitions Selecta Mathematica , year=

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-26T17:20:06.010184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f218924c-5a14-4b0b-a7cd-bd8ef4708bd2 · outbound

This paper cites Dizier, Avery , TITLE =.

Injectivity of symmetric polynomial maps on partitions Dizier, Avery , TITLE =

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T17:20:06.010184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81543000-eb23-49b0-8d25-74daf2d788f1 · outbound

This paper cites Dizier, Avery and Yong, Alexander , TITLE =.

Injectivity of symmetric polynomial maps on partitions Dizier, Avery and Yong, Alexander , TITLE =

Reference 10

Resolution: verified exact; doi, observed 2026-06-26T17:29:38.002876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a7036090-d6ea-4b42-a279-d606dacfe396 · outbound

This paper cites Dizier, Avery and Tanjaya, Arthur , TITLE =.

Injectivity of symmetric polynomial maps on partitions Dizier, Avery and Tanjaya, Arthur , TITLE =

Reference 11

Resolution: malformed identifier; doi_truncated, observed 2026-06-26T17:29:38.001182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 653b6b1f-b64a-40c4-9902-81eaa2af7ed2 · outbound

This paper cites Schubert polynomials and patterns in permutations.

Injectivity of symmetric polynomial maps on partitions Schubert polynomials and patterns in permutations

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-06-26T17:29:37.996635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b5b15209-a10c-4691-b00e-7aba382da7f3 · outbound

This paper cites 2024 , eprint=.

Injectivity of symmetric polynomial maps on partitions 2024 , eprint=

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T17:20:06.010184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b4a5f45-14f1-4b9f-a915-749e1ed20fab · outbound

This paper cites Newton polytopes of fireworks Grothendieck polynomials.

Injectivity of symmetric polynomial maps on partitions Newton polytopes of fireworks Grothendieck polynomials

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-06-26T17:29:37.990768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6729e5bd-6b3e-4180-9eab-a2d2eeb6110f · outbound

This paper cites Dizier, Avery , TITLE =.

Injectivity of symmetric polynomial maps on partitions Dizier, Avery , TITLE =

Reference 15

Resolution: verified exact; doi, observed 2026-06-26T17:29:37.987507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f5ae3d8d-8914-4ee5-9996-c1dcfe79cab4 · outbound

This paper cites Ramanujan J.

Injectivity of symmetric polynomial maps on partitions Ramanujan J

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-26T17:20:06.010184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad74aba1-f1b5-4c3f-907e-51504ac8d113 · outbound

This paper cites Integers , keywords =.

Injectivity of symmetric polynomial maps on partitions Integers , keywords =

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-26T17:20:06.010184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27167739-877b-4c4f-b158-a8647b58190e · outbound

This paper cites arXiv e-prints , keywords =.

Injectivity of symmetric polynomial maps on partitions arXiv e-prints , keywords =

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-06-26T17:29:37.984019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0dca095e-d81e-4168-9ef8-c1f018a25213 · outbound

This paper cites an unresolved cited work.

Injectivity of symmetric polynomial maps on partitions Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-26T17:20:06.010184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5893e626-60e2-4257-bf3f-fc0236d366af · outbound

This paper cites Ramanujan J.

Injectivity of symmetric polynomial maps on partitions Ramanujan J

Reference 20

Resolution: verified exact; doi, observed 2026-06-26T17:29:37.985796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f6d1bfe6-320d-41cc-9289-cd8134c64221 · outbound

This paper cites Elementary symmetric polynomials and a potentially injective family of maps on partitions.

Injectivity of symmetric polynomial maps on partitions Elementary symmetric polynomials and a potentially injective family of maps on partitions

Reference 21

Resolution: metadata mismatch; local_arxiv, observed 2026-07-04T03:59:33.901418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b6c32481-7b98-4247-887b-8f2a7c95ac9e · outbound

This paper cites 2026 , eprint=.

Injectivity of symmetric polynomial maps on partitions 2026 , eprint=

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-26T17:20:06.010184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83ac0b78-0676-47ac-ad67-9343fa0b805f · outbound

This paper cites 2026 , eprint=.

Injectivity of symmetric polynomial maps on partitions 2026 , eprint=

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-26T17:20:06.010184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.