Pith Number

pith:JQEVR5QP

pith:2025:JQEVR5QP7JOIZ3ZQW7UVXTKRQI

not attested not anchored not stored refs pending

Stabilization of intersection Betti numbers for moduli spaces of one-dimensional sheaves on surfaces

Feinuo Zhang, Fei Si

arxiv:2511.18426 v3 · 2025-11-23 · 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{JQEVR5QP7JOIZ3ZQW7UVXTKRQI}

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	2026-06-30T02:18:05.466798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c0958f60ffa5c8cef30b7e95bcd518226a50b392a656463cbf5d38c21f5f207

Aliases

arxiv: 2511.18426 · arxiv_version: 2511.18426v3 · doi: 10.48550/arxiv.2511.18426 · pith_short_12: JQEVR5QP7JOI · pith_short_16: JQEVR5QP7JOIZ3ZQ · pith_short_8: JQEVR5QP

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/JQEVR5QP7JOIZ3ZQW7UVXTKRQI \
  | 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: 4c0958f60ffa5c8cef30b7e95bcd518226a50b392a656463cbf5d38c21f5f207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab4ebd1ec27f318b6aa16c552d0aba75ea682aea35976dd4ace3fbe500c52be9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-11-23T12:47:50Z",
    "title_canon_sha256": "7837ef2dc86ff1230360caef435d15d47267dcc8bed9300e58a736629a38bb5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.18426",
    "kind": "arxiv",
    "version": 3
  }
}