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Paper Citation Record · LEDGER

Stable complete coordinates for multisets of points via basic $r$-symmetric tropical polynomials

As of 18 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2606.30184.

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

pith.paper-citation-record.v1
2606.30184 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T03:27:22.966684Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:35:12.621066Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T19:35:12.882383Z

Reference resolution

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved11
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5a5bfdc3-3777-4c94-9437-b071a0f71b81 · outbound

This paper cites Max-Linear Systems: Theory and Algorithms , publisher =.

Stable complete coordinates for multisets of points via basic $r$-symmetric tropical polynomials Max-Linear Systems: Theory and Algorithms , publisher =

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-30T03:27:22.966684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-30T03:27:22.966684Z digest=sha256:769aded02486a3bcef9ee8b63f4eb9da96f1927fb565a8784b42c84fb976ba0d

Observation 98ae8326-f6b8-449a-ae9f-37da3904043d · outbound

This paper cites and Mixon, Dustin G.

Stable complete coordinates for multisets of points via basic $r$-symmetric tropical polynomials and Mixon, Dustin G

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-30T03:27:22.966684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-30T03:27:22.966684Z digest=sha256:ffba74d2d5d1d263fc30ee65135c5b7d47d282c7a9b7c4132fd35a6dac786ce0

Observation 487a9c26-b44b-4780-ba43-2dd3d077f4e7 · outbound

This paper cites 2023 , note =.

Stable complete coordinates for multisets of points via basic $r$-symmetric tropical polynomials 2023 , note =

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-30T03:27:22.966684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-30T03:27:22.966684Z digest=sha256:379d04883cf05ead84ffe77df8e51247026400592d9264709de56858bd0a8af4

Observation 6bd55e68-2af4-4b10-ae8f-91c10aae656b · outbound

This paper cites Symmetric and r -symmetric tropical polynomials and rational functions , journal =.

Stable complete coordinates for multisets of points via basic $r$-symmetric tropical polynomials Symmetric and r -symmetric tropical polynomials and rational functions , journal =

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-30T03:27:22.966684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-30T03:27:22.966684Z digest=sha256:cb36ad21cb1b90a2856443d8e5d479eabcf21a2ecc20fc3dfc8b098c6f8c4354

Observation fd8f8f43-a19e-49c9-96a2-b4dc5464325e · outbound

This paper cites 2025 , note =.

Stable complete coordinates for multisets of points via basic $r$-symmetric tropical polynomials 2025 , note =

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-30T03:27:22.966684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-30T03:27:22.966684Z digest=sha256:2f5aec9f8484286673ad0cf643d12662b83101e4e6c79addecaa8144c05a734b

Observation 3999853c-cfaa-4a19-a005-a71d926b25e4 · outbound

This paper cites and Gritzmann, Peter , title =.

Stable complete coordinates for multisets of points via basic $r$-symmetric tropical polynomials and Gritzmann, Peter , title =

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-30T03:27:22.966684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-30T03:27:22.966684Z digest=sha256:5829d9d30020a3c65e662083d5463852804d66b991cd9987f52654739c2c30b5

Observation a160dc7b-c346-4ee4-8781-1b2700a73ab7 · outbound

This paper cites Advances in Discrete Tomography and Its Applications , editor =.

Stable complete coordinates for multisets of points via basic $r$-symmetric tropical polynomials Advances in Discrete Tomography and Its Applications , editor =

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-30T03:27:22.966684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-30T03:27:22.966684Z digest=sha256:72876caba55d5647284e8df6f59fec20250ef23e275dd87f599eb44c4452730d

Observation 004dba94-4c56-4be7-a968-830c189d4959 · outbound

This paper cites , title =.

Stable complete coordinates for multisets of points via basic $r$-symmetric tropical polynomials , title =

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-30T03:27:22.966684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-30T03:27:22.966684Z digest=sha256:9bc97cd5d70661bf655867de41458f7e59e65c5dd9ccdaca931e6b40b0a6e21b

Observation 1354c15e-8579-462d-afb9-288a560335a4 · outbound

This paper cites an unresolved cited work.

Stable complete coordinates for multisets of points via basic $r$-symmetric tropical polynomials Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-30T03:27:22.966684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-30T03:27:22.966684Z digest=sha256:9c24c2c18cd0bc7012e0d489fed0b89b0f6c0b9c9fb32bcdda4b8513b3fcae28

Observation 834a6f44-ca15-4ce9-a6c2-c8a12392dec7 · outbound

This paper cites The 28th Symposium of Japanese Society of Applied Statistics , year =.

Stable complete coordinates for multisets of points via basic $r$-symmetric tropical polynomials The 28th Symposium of Japanese Society of Applied Statistics , year =

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-30T03:27:22.966684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-30T03:27:22.966684Z digest=sha256:0b62eef4d7990658d015558d60108b76d5a2eb15036ba0a88082583c4997ed46

Observation 62364f46-4e0c-43c7-acd0-ad4ef2936ab6 · outbound

This paper cites an unresolved cited work.

Stable complete coordinates for multisets of points via basic $r$-symmetric tropical polynomials Unresolved cited work

Reference 11

Resolution
parse uncertain
no resolver link, observed 2026-06-30T03:27:22.966684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-30T03:27:22.966684Z digest=sha256:6799f996bc59d948eb22e13ed5802d1e35235088f564404cc711417d1fe24807

Observation ce9aef4c-0d70-47d4-a190-05588da89135 · outbound

This paper cites Tropical Sufficient Statistics for Persistent Homology , journal =.

Stable complete coordinates for multisets of points via basic $r$-symmetric tropical polynomials Tropical Sufficient Statistics for Persistent Homology , journal =

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-30T03:27:22.966684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-30T03:27:22.966684Z digest=sha256:8c5cd8f8f5ddee90fa458d27078813178e8a666e7e37327ea6d34f24de6fa805

Pith citing papers

Observation 98d6145d-6614-433c-bd47-2c842fe44197 · inbound

The basic tropical polynomials generate the semifield of $r$-symmetric tropical rational functions cites this paper.

The basic tropical polynomials generate the semifield of $r$-symmetric tropical rational functions Stable complete coordinates for multisets of points via basic $r$-symmetric tropical polynomials

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-10T19:35:12.889789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:35:12.621066Z digest=sha256:372feb9073994fb953ed418a764e2a16d5c04fe4fd10755d452f5dda81317697