Pith Number

pith:3EHX35FV

pith:2025:3EHX35FVBZY7TFQVQHDBZNJ7C5

not attested not anchored not stored refs pending

Poincar\'e polynomials of moduli spaces of one-dimensional sheaves on the projective plane

Longting Wu, Shuai Guo, with an appendix by Miguel Moreira

arxiv:2501.05622 v2 · 2025-01-09 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3EHX35FVBZY7TFQVQHDBZNJ7C5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T10:27:23.349819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d90f7df4b50e71f9961581c61cb53f174b0e222c9149b420bd34eaaeb1ab22ee

Aliases

arxiv: 2501.05622 · arxiv_version: 2501.05622v2 · doi: 10.48550/arxiv.2501.05622 · pith_short_12: 3EHX35FVBZY7 · pith_short_16: 3EHX35FVBZY7TFQV · pith_short_8: 3EHX35FV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3EHX35FVBZY7TFQVQHDBZNJ7C5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d90f7df4b50e71f9961581c61cb53f174b0e222c9149b420bd34eaaeb1ab22ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42325e6eeede924668fc350d8d9ae49418b4e21a20926d0b0a1bf4b20fb07aff",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-09T23:42:10Z",
    "title_canon_sha256": "d95a0267b95dedc6a0f4875873321f8fcf0a90e3a6d9ec3fd984c6005acdc649"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.05622",
    "kind": "arxiv",
    "version": 2
  }
}