Pith Number

pith:54OBWROJ

pith:2013:54OBWROJZVS4Z6YX36AD23R2LV

not attested not anchored not stored refs pending

A vanishing theorem for log canonical pairs after De Fernex-Ein

Chih-Chi Chou

arxiv:1311.5545 v2 · 2013-11-21 · 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{54OBWROJZVS4Z6YX36AD23R2LV}

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	2026-05-18T03:02:07.184177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef1c1b45c9cd65ccfb17df803d6e3a5d6e602d03897df118005b89cf12d0e6c0

Aliases

arxiv: 1311.5545 · arxiv_version: 1311.5545v2 · doi: 10.48550/arxiv.1311.5545 · pith_short_12: 54OBWROJZVS4 · pith_short_16: 54OBWROJZVS4Z6YX · pith_short_8: 54OBWROJ

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/54OBWROJZVS4Z6YX36AD23R2LV \
  | 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: ef1c1b45c9cd65ccfb17df803d6e3a5d6e602d03897df118005b89cf12d0e6c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eea334464b5f347c967a341367273a5afe2a38492a99a31de06f6c5c89d73313",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-21T20:35:53Z",
    "title_canon_sha256": "db773c4439a87f185be97d8c78cd42ce792958b2763063e08025396d17558abb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5545",
    "kind": "arxiv",
    "version": 2
  }
}