Pith Number

pith:7QSH2GIO

pith:2025:7QSH2GIOPW3VHJRJZG4ZGVSUFA

not attested not anchored not stored refs pending

Lefschetz Defect in Families

Matteo Verni

arxiv:2501.10192 v2 · 2025-01-17 · 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{7QSH2GIOPW3VHJRJZG4ZGVSUFA}

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	2026-06-12T01:09:06.728869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc247d190e7db753a629c9b99356542826cbf6553bfea1ba622b3cc325f48415

Aliases

arxiv: 2501.10192 · arxiv_version: 2501.10192v2 · doi: 10.48550/arxiv.2501.10192 · pith_short_12: 7QSH2GIOPW3V · pith_short_16: 7QSH2GIOPW3VHJRJ · pith_short_8: 7QSH2GIO

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/7QSH2GIOPW3VHJRJZG4ZGVSUFA \
  | 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: fc247d190e7db753a629c9b99356542826cbf6553bfea1ba622b3cc325f48415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a7eafc78efc26728913255f27e1fb41c99537836bfd0263d014bbe8403c6afd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-17T13:38:15Z",
    "title_canon_sha256": "6688fec8cc5adeb0c14d489bdfc145949daaf0c19624fda186e6c383d70c9350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.10192",
    "kind": "arxiv",
    "version": 2
  }
}