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Paper Citation Record · LEDGER

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive

As of 15 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:1908.06598.

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

pith.paper-citation-record.v1
1908.06598 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:46:14.677834Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

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

20 of 20 outbound references displayed

  • verified exact4
  • verified fuzzy11
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a5bcd456-39f9-436b-9fc5-49403028b604 · outbound

This paper cites Non-symmetric Macdonald polynomials and Demazure-Lusztig operators.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Non-symmetric Macdonald polynomials and Demazure-Lusztig operators

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T12:46:14.603139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:46:14.603139Z digest=sha256:e8318f44bee29e550960d0ab9c1c25bcaf4add8577bee489a63ac19a49ab2020

Observation 4de19562-1b1d-4b9a-a57f-f5ec195015e1 · outbound

This paper cites Alexandersson and G.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Alexandersson and G

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:14.912842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.608567Z digest=sha256:ed3f5fb04b3eb101f9532d95edc82f40a3897189423643c99ddd5a62fc340579

Observation 0adff951-553f-4ac8-ad60-f4f7f5b13b08 · outbound

This paper cites Flagged $(\mathcal{P},\rho)$-partitions.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Flagged $(\mathcal{P},\rho)$-partitions

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:46:14.762180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.613409Z digest=sha256:ae338b16d02d74b1aefce2b0cc014ad036f39a3fd6044767548af73eaf0e4baa

Observation e2e3ce7c-e8a3-4efc-a05d-962bd1d3ed32 · outbound

This paper cites Assaf and D.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Assaf and D

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:14.903192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.617763Z digest=sha256:be93973c9882f3d88fca011ddf2216b56cf38bb7d01fb54bf1782a9774340c22

Observation 6808380c-d080-46ca-a4f2-77aab03e0b56 · outbound

This paper cites Athanasiadis, Power sum expansion of chromatic quasisymmetric functions , Electron.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Athanasiadis, Power sum expansion of chromatic quasisymmetric functions , Electron

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:14.894162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.621644Z digest=sha256:20e653db4858add567487ff3132a3f4979e87317bbb56cd9b7258261fd8ebdb3

Observation f13c17df-d8a8-4a16-93a1-15ed1cd26271 · outbound

This paper cites Brosnan and T.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Brosnan and T

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:14.884425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.625480Z digest=sha256:2c15027a439c53afeab4c1a4d362245c607d3e68830599d12b3e12a722be3464

Observation 4d28408c-4348-4f0b-a4da-6de7ed2fb1da · outbound

This paper cites Birkhoff, A determinant formula for the number of ways of coloring a map , Ann.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Birkhoff, A determinant formula for the number of ways of coloring a map , Ann

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:14.874702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.628975Z digest=sha256:0e76dffdf73596553ae73f30005cd1904c2225fe4cb5590d0c12bef26191183c

Observation fcf52d72-3428-4db9-89c8-74af3f530cab · outbound

This paper cites Carlsson and A.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Carlsson and A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:14.864757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.632997Z digest=sha256:b26f9fc1d4e151deb11a2b861e95a181dfe21d441a256a3f165b8a2b037c9511

Observation 9b6dee8e-363f-40fa-b39e-ba692181450f · outbound

This paper cites Chow , Descents, quasi-symmetric functions, Robinson-Schensted for posets, and the chromatic symmetric function, J.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Chow , Descents, quasi-symmetric functions, Robinson-Schensted for posets, and the chromatic symmetric function, J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:14.853676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.636697Z digest=sha256:cdc5404046c6b00071d09eb6435b200520d56ea9b36a8347abb72d5601a07205

Observation a517e00f-6f81-461a-a2ef-0ffe2ef49175 · outbound

This paper cites Macdonald polynomials and chromatic quasisymmetric functions.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Macdonald polynomials and chromatic quasisymmetric functions

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:46:14.748104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.640430Z digest=sha256:2b3dbe84fef65bac1de372bf8af9635a7d4bef93bf5ab703dae02bd848d9dd80

Observation 3c94d80e-ca43-4746-9d81-4d1d3fcf7d5b · outbound

This paper cites A second proof of the Shareshian--Wachs conjecture, by way of a new Hopf algebra.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive A second proof of the Shareshian--Wachs conjecture, by way of a new Hopf algebra

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-14T12:46:14.644413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:46:14.644413Z digest=sha256:e8dd41141a86932dbdf2638ea01414a5e3a38132bf577ec98d90839440baf6c8

Observation c81eb7c3-bc42-4537-aeb8-e084d9f3efd0 · outbound

This paper cites Lam, S.J.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Lam, S.J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:14.843224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.648566Z digest=sha256:3d16ba17e7cad62df2d33841e4c58302c9bd1c1a0f1b6b38978c7906307c6d15

Observation 082a515e-b852-4450-a611-9f1271dc102b · outbound

This paper cites Asymmetric function theory.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Asymmetric function theory

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:46:14.724398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.652476Z digest=sha256:bb78f2d2b917ba00a27380f338844a11ea77387ef51b6751a94d8b788141f5bf

Observation fc67635f-acc8-4442-b529-a53969e74645 · outbound

This paper cites an unresolved cited work.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:46:14.832410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.656247Z digest=sha256:0cd245b9ae1ce846aa7a5cbe6c41917c09667b838d5ca90bf141a2cd5db1504e

Observation 82f1ecbd-ca74-44fa-924e-c9318005875c · outbound

This paper cites Noncommutative unicellular LLT polynomials.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Noncommutative unicellular LLT polynomials

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:46:14.710234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.659811Z digest=sha256:47e1cb38a5b2fbd022c67e977664ad7faea4cc5925b6fb355f6bf10df86f695a

Observation 4837d180-5324-45bb-8757-d1ec73c6ffab · outbound

This paper cites Sagan, The symmetric group.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Sagan, The symmetric group

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:14.821132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.663797Z digest=sha256:3f10d96be9bc37433bcba065e1d4d74fe42a53a702fbfe9365ed2fba9fb360ec

Observation 2bfcf926-8fea-43df-afe4-9addd421de50 · outbound

This paper cites Shareshian and M.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Shareshian and M

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:14.811195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.667190Z digest=sha256:ce3109a14d4e5e06418b3747429c2a08d9d3ff09dcefec9852e7076bca9aa56c

Observation b7130c9e-eb3d-4fa6-8a3d-55fbce74ea72 · outbound

This paper cites an unresolved cited work.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:46:14.800550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.670476Z digest=sha256:64dfad3fc6dad8b63b3d9f525ff072414f1511cd1588861098493aacc396bea8

Observation 604de0ee-6dcc-40f9-b1fc-89d4af277861 · outbound

This paper cites an unresolved cited work.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:46:14.789831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.674333Z digest=sha256:ae65ee40b048f566962e9df2f78b21d97591b0e40b737a12ad6f7b3b1ced63b0

Observation e20cba5e-244a-467b-9a14-a7fa9905ba24 · outbound

This paper cites Whitney , The coloring of graphs , Ann.

Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive Whitney , The coloring of graphs , Ann

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:14.779415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T12:46:14.677834Z digest=sha256:2a40a84f17126881bd313b53ae872a0bfef33b1f1584bfb2b31289dac0662183

Pith citing papers

No inbound Pith citation observations are available.