Paper Citation Record · LEDGER

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof

As of 4 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2605.29151.

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

pith.paper-citation-record.v1
2605.29151 v2

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T09:21:38.994768Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+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

24 of 24 outbound references displayed

verified exact4
verified fuzzy0
unresolved20
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1c7e20e0-8728-4e9c-8b4b-2d0190a12152 · outbound

This paper cites an unresolved cited work.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6d021bc-fbfa-4f8c-b89c-6677119aa76c · outbound

This paper cites 2, 381--452.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof 2, 381--452

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59ecd23b-066b-4eec-b6e3-ef075f9cb637 · outbound

This paper cites an unresolved cited work.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f000cfe3-1fba-48b5-af05-8041242c455e · outbound

This paper cites an unresolved cited work.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49506196-7eb5-4583-bbb4-4f2043c0814b · outbound

This paper cites an unresolved cited work.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85a904c5-b261-4d58-8187-bfd1258fe926 · outbound

This paper cites Recursive algorithm and log-concavity of representations on the cohomology of $\overline{\mathcal M}_{0,n}$.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Recursive algorithm and log-concavity of representations on the cohomology of $\overline{\mathcal M}_{0,n}$

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-06-29T09:23:16.016792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d1898d6b-e8ce-4cd0-99a5-2ba2d5673b2e · outbound

This paper cites an unresolved cited work.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2e16072-4406-4df1-9515-5e2b707c6d3d · outbound

This paper cites an unresolved cited work.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e0102258-241a-4266-aaa3-16ab5d956cd9 · outbound

This paper cites Matherne, Roberto Pagaria, and Lorenzo Vecchi, Building sets, Chow rings, and their Hilbert series , 2025, Arxiv: 2504.16776.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Matherne, Roberto Pagaria, and Lorenzo Vecchi, Building sets, Chow rings, and their Hilbert series , 2025, Arxiv: 2504.16776

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-06-29T09:23:16.019453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation af8e3839-d9e5-403e-9342-ba556ee80cfb · outbound

This paper cites an unresolved cited work.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50bd7db0-e7cb-4d8d-96d7-5df6c19e399b · outbound

This paper cites Matherne, Matthew Stevens, and Lorenzo Vecchi, Hilbert-- Poincar \'e series of matroid Chow rings and intersection cohomology , Advances in Mathematics 449 (2024).

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Matherne, Matthew Stevens, and Lorenzo Vecchi, Hilbert-- Poincar \'e series of matroid Chow rings and intersection cohomology , Advances in Mathematics 449 (2024)

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03ab5639-a0a9-48e2-9ade-58c2bebfc616 · outbound

This paper cites Dijkgraaf, Carel F.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Dijkgraaf, Carel F

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11a6d3c6-2c0a-4a08-94ab-7249e7fa7715 · outbound

This paper cites Kapranov, Modular operads, Compositio Mathematica 110 (1998), no.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Kapranov, Modular operads, Compositio Mathematica 110 (1998), no

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e5dd903-d979-480e-b5d2-4a456bb269be · outbound

This paper cites Kapranov, Chow quotients of Grassmannians.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Kapranov, Chow quotients of Grassmannians

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc491a27-3a9b-45c2-8eb7-5540cf8a5ff3 · outbound

This paper cites 2, 545--574.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof 2, 545--574

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4476d112-d0bb-4961-816f-b32ebe090eb3 · outbound

This paper cites Manin, Gromov-- Witten classes, quantum cohomology, and enumerative geometry , Communications in Mathematical Physics 164 (1994), no.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Manin, Gromov-- Witten classes, quantum cohomology, and enumerative geometry , Communications in Mathematical Physics 164 (1994), no

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee44a8ce-7f30-4d5f-a23f-e0542d4fc3f3 · outbound

This paper cites Knudsen, The projectivity of the moduli space of stable curves.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Knudsen, The projectivity of the moduli space of stable curves

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6494e55-c4f1-4c85-9714-86d10a9e7c88 · outbound

This paper cites an unresolved cited work.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c1df8ff-0384-4df9-b4ab-11532c65c585 · outbound

This paper cites 1, 1--23.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof 1, 1--23

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cbeccc8d-0666-44f6-9646-5bfa2c0b858f · outbound

This paper cites Manin, Generating functions in algebraic geometry and sums over trees, The Moduli Space of Curves (Robbert H.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Manin, Generating functions in algebraic geometry and sums over trees, The Moduli Space of Curves (Robbert H

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84d97fac-3a32-4a9a-81a6-7f2361679824 · outbound

This paper cites 47, American Mathematical Society, Providence, RI, 1999.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof 47, American Mathematical Society, Providence, RI, 1999

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b59c753-30f4-4ebb-a6c1-fd1d3caf8337 · outbound

This paper cites an unresolved cited work.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Unresolved cited work

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-06-29T09:23:16.024389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation f4d9bda2-ae9d-49bb-aef6-33875acf8cdc · outbound

This paper cites an unresolved cited work.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-29T09:21:38.994768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d93f02e4-c4c8-4c50-9df4-da981bcea4e0 · outbound

This paper cites AI co-mathematician: Accelerating mathematicians with agentic AI.

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof AI co-mathematician: Accelerating mathematicians with agentic AI

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-06-29T09:23:16.014991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Pith citing papers

No inbound Pith citation observations are available.