Pith. sign in

Paper Citation Record · LEDGER

On the magic positivity of Ehrhart polynomials of dilated polytopes

As of 20 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2504.21395.

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

pith.paper-citation-record.v1
2504.21395 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:17:52.104957Z

measured 29 of 29 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

29 of 29 outbound references displayed

  • verified exact0
  • verified fuzzy25
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f8c355d5-71ab-48a7-ae1a-f8aa35957891 · outbound

This paper cites Athanasiadis.

On the magic positivity of Ehrhart polynomials of dilated polytopes Athanasiadis

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.789618Z

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.

source=pdf_text observed=2026-08-16T05:17:51.906282Z digest=sha256:9cd90005579a9943234e0870da71fc095c44e7999d9d05e2530ac3f07077fd4c

Observation 21d07893-8d62-4f21-bf9f-0d83fe32984e · outbound

This paper cites h∗-polynomials of zonotopes.

On the magic positivity of Ehrhart polynomials of dilated polytopes h∗-polynomials of zonotopes

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.765507Z

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.

source=pdf_text observed=2026-08-16T05:17:51.913861Z digest=sha256:0198570bb9b10613735558c6ab8d9e0b40c90e6c81bf9bc563a20f98f2dc6d00

Observation a504d15b-d449-4a0e-bb57-af7180ba6c2b · outbound

This paper cites On linear transformations preserving the P´ olya frequency property.Trans.

On the magic positivity of Ehrhart polynomials of dilated polytopes On linear transformations preserving the P´ olya frequency property.Trans

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.744250Z

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.

source=pdf_text observed=2026-08-16T05:17:51.922160Z digest=sha256:4ce4ee7cfaa6fadbd1d226f204f22cf48345076d261fc6d25f7e6ec1911102d7

Observation 996500fa-3ccf-4574-997f-ff8237372967 · outbound

This paper cites Unimodality, log-concavity, real-rootedness and beyond.

On the magic positivity of Ehrhart polynomials of dilated polytopes Unimodality, log-concavity, real-rootedness and beyond

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.718495Z

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.

source=pdf_text observed=2026-08-16T05:17:51.928286Z digest=sha256:0a7b923408bda99456fc41ca25a3fec6f24d40a321a9605a50b9f0334606377c

Observation ac911655-cfb9-4c0c-a8da-c46ac09e5bc0 · outbound

This paper cites The Eulerian transformation.Trans.

On the magic positivity of Ehrhart polynomials of dilated polytopes The Eulerian transformation.Trans

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.695529Z

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.

source=pdf_text observed=2026-08-16T05:17:51.934303Z digest=sha256:0f11e6906f19dde1e7b76744ead59dbb8c6f52b6d7079425ffad2ac2720c9fdc

Observation 57383bd4-8d91-4a8d-9a93-dd239190ddfd · outbound

This paper cites Norm bounds for Ehrhart polynomial roots.

On the magic positivity of Ehrhart polynomials of dilated polytopes Norm bounds for Ehrhart polynomial roots

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.674942Z

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.

source=pdf_text observed=2026-08-16T05:17:51.941904Z digest=sha256:5d7f929f27dc03d224caeff2284b8b45ae588c5f5496c3d36d3db1826e08d198

Observation 66411543-c797-4d28-a282-81d7e82481ee · outbound

This paper cites Normal polytopes, triangulations, and Koszul algebras.

On the magic positivity of Ehrhart polynomials of dilated polytopes Normal polytopes, triangulations, and Koszul algebras

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.649944Z

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.

source=pdf_text observed=2026-08-16T05:17:51.948292Z digest=sha256:e423ee37d712c9907a0dc415cd66445f09a257dd201765c426eeb9619e9923d6

Observation aeedb2a6-16e2-4c9f-a810-9d21cb26ef2c · outbound

This paper cites An extremal problem for non-separable matroids.

On the magic positivity of Ehrhart polynomials of dilated polytopes An extremal problem for non-separable matroids

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.625424Z

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.

source=pdf_text observed=2026-08-16T05:17:51.954434Z digest=sha256:e1a3a397a73adc7b505a961d15258a03fcef19a40a3bbb67ee1abe988e72705e

Observation 9f68e668-cbf3-41cb-977c-907a80270e06 · outbound

This paper cites Cox, Christian Haase, Takayuki Hibi, and Akihiro Higashitani.

On the magic positivity of Ehrhart polynomials of dilated polytopes Cox, Christian Haase, Takayuki Hibi, and Akihiro Higashitani

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.600439Z

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.

source=pdf_text observed=2026-08-16T05:17:51.962655Z digest=sha256:4945a67c85310acf6d38c86ce1a8e1b19488ab3926ed598070aa082db42e0437

Observation fcc0d619-b0ea-4f7c-ac23-0187d00bd11f · outbound

This paper cites Sur les poly` edres rationnels homoth´ etiques ` an dimensions.

On the magic positivity of Ehrhart polynomials of dilated polytopes Sur les poly` edres rationnels homoth´ etiques ` an dimensions

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.578346Z

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.

source=pdf_text observed=2026-08-16T05:17:51.969371Z digest=sha256:fd7428b0f0efc520d7a6d8c10b9eb9f7ab4bf583445fc6ac3f70a746d068bd5c

Observation 12914efb-3824-4983-b774-b91c0fe53aea · outbound

This paper cites Hypersimplices are Ehrhart positive.

On the magic positivity of Ehrhart polynomials of dilated polytopes Hypersimplices are Ehrhart positive

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.557306Z

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.

source=pdf_text observed=2026-08-16T05:17:51.978021Z digest=sha256:90bae786975c9cf5871fc47887a90ed74d88ea19655e2ef601d955e8959ea6d6

Observation a67ea333-95df-4aae-b361-4c951422cf65 · outbound

This paper cites On the Ehrhart polynomial of minimal matroids.

On the magic positivity of Ehrhart polynomials of dilated polytopes On the Ehrhart polynomial of minimal matroids

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.528329Z

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.

source=pdf_text observed=2026-08-16T05:17:51.986089Z digest=sha256:b81cfc972bd82b3e83e1f5739e298d09ab00fa2364073e01858f1e7515935ea2

Observation b1bbb6fa-9e75-4527-93c1-2a932da3d222 · outbound

This paper cites Examples and counterexamples in Ehrhart theory.

On the magic positivity of Ehrhart polynomials of dilated polytopes Examples and counterexamples in Ehrhart theory

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.505623Z

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.

source=pdf_text observed=2026-08-16T05:17:51.992122Z digest=sha256:e8deb7533bfdee95eaaee70fa946a7ee5f9b202b124c16b217271d82c1cdd1f3

Observation fb6f64f1-68ac-489f-86e8-1da249e01cc7 · outbound

This paper cites Ehrhart polynomials of rank two matroids.

On the magic positivity of Ehrhart polynomials of dilated polytopes Ehrhart polynomials of rank two matroids

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.479982Z

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.

source=pdf_text observed=2026-08-16T05:17:51.997902Z digest=sha256:96ceea6cc4546c8fb6692836a2395aa13f755bbc4f789fdca781088f6bded83e

Observation 9744222d-8824-4e82-bc3d-b7bc15006853 · outbound

This paper cites Algebraic combinatorics on convex polytopes.

On the magic positivity of Ehrhart polynomials of dilated polytopes Algebraic combinatorics on convex polytopes

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.454167Z

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.

source=pdf_text observed=2026-08-16T05:17:52.003708Z digest=sha256:b250d4f68dacad613d7ac39390fc78d1ba776e738bcf8b0f86902d5478576bca

Observation e20d6b60-42db-445d-8076-c7b7428ec977 · outbound

This paper cites Dual polytopes of rational convex polytopes.

On the magic positivity of Ehrhart polynomials of dilated polytopes Dual polytopes of rational convex polytopes

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.432364Z

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.

source=pdf_text observed=2026-08-16T05:17:52.010031Z digest=sha256:627068c125e3e4ec2def413becd1044dbfaed6f9851e9dfb205101414c8d1958

Observation 95c0aaff-ce15-4b5f-ac7c-ba56b4b9fed8 · outbound

This paper cites Shifted symmetric δ-vectors of convex polytopes.

On the magic positivity of Ehrhart polynomials of dilated polytopes Shifted symmetric δ-vectors of convex polytopes

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.412671Z

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.

source=pdf_text observed=2026-08-16T05:17:52.018530Z digest=sha256:4f5d794bf960eb03b0815e3fd951ac9fcd47d2d21d204e236f747487e0ef94c5

Observation 311a612a-3943-469d-877e-4ea6550223fc · outbound

This paper cites Arithmetic aspects of symmetric edge polytopes.

On the magic positivity of Ehrhart polynomials of dilated polytopes Arithmetic aspects of symmetric edge polytopes

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.394374Z

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.

source=pdf_text observed=2026-08-16T05:17:52.024414Z digest=sha256:6b4380046ca2d62ba18d01e88bce8496c45d8a8caedc980aabd44ab3476c7629

Observation 66021185-4833-4d7a-a4dd-eba1fa544214 · outbound

This paper cites Symmetric decompositions and the Veronese construction.

On the magic positivity of Ehrhart polynomials of dilated polytopes Symmetric decompositions and the Veronese construction

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.374771Z

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.

source=pdf_text observed=2026-08-16T05:17:52.031373Z digest=sha256:53355e159dfdad14e0b76092da45acce3d518f2cff83719cfd04ab6511d5125f

Observation 522bb31a-a73c-4c09-911b-e62f1bd2fc9a · outbound

This paper cites The Hilbert series of algebras of the Veronese type.

On the magic positivity of Ehrhart polynomials of dilated polytopes The Hilbert series of algebras of the Veronese type

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.355821Z

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.

source=pdf_text observed=2026-08-16T05:17:52.038789Z digest=sha256:c4c43e97bf6ca458eb519f078369a5a3dc290aed93d19c7f83a8b3b497701f87

Observation 08644570-1675-4017-9cc2-f19f9e395eb8 · outbound

This paper cites On positivity of Ehrhart polynomials.

On the magic positivity of Ehrhart polynomials of dilated polytopes On positivity of Ehrhart polynomials

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.331831Z

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.

source=pdf_text observed=2026-08-16T05:17:52.051274Z digest=sha256:8724d0585b62bd9e310c5bec4375c1caa5febe05287d4fffbbe28b7a26bfb022

Observation 6a559d63-6aed-4140-9cfb-6c3b96505740 · outbound

This paper cites Unimodular triangulations of sufficiently large dilations.

On the magic positivity of Ehrhart polynomials of dilated polytopes Unimodular triangulations of sufficiently large dilations

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-16T05:17:52.057524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:17:52.057524Z digest=sha256:201cd111f314bd288dc4f15558ba77f0f4d3a23da1350e81b5242c8747b17ad8

Observation 7c055375-387a-4140-ae88-6cd48299c77b · outbound

This paper cites Understanding and Using Linear Programming (Universitext).

On the magic positivity of Ehrhart polynomials of dilated polytopes Understanding and Using Linear Programming (Universitext)

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.308414Z

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.

source=pdf_text observed=2026-08-16T05:17:52.070251Z digest=sha256:09a71f88af8e610f9f12c9ce844963c7b72f5bcc3ecebbcce8b713fcb47404db

Observation 051893a8-d9f7-4fa8-a42b-4d78b6c9a725 · outbound

This paper cites an unresolved cited work.

On the magic positivity of Ehrhart polynomials of dilated polytopes Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:17:52.285915Z

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.

source=pdf_text observed=2026-08-16T05:17:52.076424Z digest=sha256:d54740ca356558792d3d333656259d292b378925fa83216cf72740dcebb6a6db

Observation 6e799160-ae72-4eb5-942a-12916ce2e8be · outbound

This paper cites Compressed polytopes, initial ideals and complete multipartite graphs.

On the magic positivity of Ehrhart polynomials of dilated polytopes Compressed polytopes, initial ideals and complete multipartite graphs

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.262539Z

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.

source=pdf_text observed=2026-08-16T05:17:52.082691Z digest=sha256:40bb8ca846a160fecdd320ef0ec5d37ea806f782ac5a05f634f9731eb3ca4f25

Observation 4c18ad5e-bb68-46ce-b155-92ecea9b7af5 · outbound

This paper cites Matroid theory, volume 21 of Oxford Graduate Texts in Mathematics.

On the magic positivity of Ehrhart polynomials of dilated polytopes Matroid theory, volume 21 of Oxford Graduate Texts in Mathematics

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.243929Z

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.

source=pdf_text observed=2026-08-16T05:17:52.088350Z digest=sha256:74fbd7495902c627f58dfd83573c7ef9eac1ffb4c78484e50254f56814e757b3

Observation b432b83e-18c1-43af-a122-1913e4a3f295 · outbound

This paper cites Permutohedra, associahedra, and beyond.

On the magic positivity of Ehrhart polynomials of dilated polytopes Permutohedra, associahedra, and beyond

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:17:52.215261Z

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.

source=pdf_text observed=2026-08-16T05:17:52.093691Z digest=sha256:71e5c7e95c9bbb4cdb194e162d89e5ad111802386b336cab34b74a8848d412f8

Observation 1e9c0a5a-ce06-404e-b4d4-55c7cd6915d5 · outbound

This paper cites an unresolved cited work.

On the magic positivity of Ehrhart polynomials of dilated polytopes Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:17:52.193873Z

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.

source=pdf_text observed=2026-08-16T05:17:52.099025Z digest=sha256:ca50525d37c51f516e1cbc9846eea6cd78179950db5bb7a6db9903a5536e4a20

Observation 80ed87d8-7f30-4c5c-ad6e-d8646ce726ab · outbound

This paper cites an unresolved cited work.

On the magic positivity of Ehrhart polynomials of dilated polytopes Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:17:52.173452Z

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.

source=pdf_text observed=2026-08-16T05:17:52.104957Z digest=sha256:abe0b0dd4100bdc66640b70b5cd9bd4d79f7881637baa430800c87c57d50053d

Pith citing papers

No inbound Pith citation observations are available.