Pith Number

pith:M37JFORV

pith:2013:M37JFORVSWQ4JB5ID2XJ54HBZP

not attested not anchored not stored refs pending

The essential skeleton of a degeneration of algebraic varieties

Chenyang Xu, Johannes Nicaise

arxiv:1307.4041 v2 · 2013-07-15 · 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{M37JFORVSWQ4JB5ID2XJ54HBZP}

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.

Cited by

1 paper in Pith

The Frobenius structure theorem for affine log Calabi-Yau varieties containing a torus

Receipt and verification

First computed	2026-05-18T01:18:00.513172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66fe92ba3595a1c487a81eae9ef0e1cbda9d14508a30d0cafe7743dad4d64599

Aliases

arxiv: 1307.4041 · arxiv_version: 1307.4041v2 · doi: 10.48550/arxiv.1307.4041 · pith_short_12: M37JFORVSWQ4 · pith_short_16: M37JFORVSWQ4JB5I · pith_short_8: M37JFORV

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/M37JFORVSWQ4JB5ID2XJ54HBZP \
  | 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: 66fe92ba3595a1c487a81eae9ef0e1cbda9d14508a30d0cafe7743dad4d64599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "877de0a74c84d97f718a607f7625242c83533b136330a74d472460d0ab66efb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-15T18:29:36Z",
    "title_canon_sha256": "916919e83f9346f84d01d73d5c8536b737d9e2385f8dd4c19636e5deaf13e73e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4041",
    "kind": "arxiv",
    "version": 2
  }
}