Pith Number

pith:FVPHPEYO

pith:2013:FVPHPEYOXQXOM47PU7STIJ3X4V

not attested not anchored not stored refs pending

Difference Chow Form

Wei Li, Ying-Hong Li

arxiv:1308.2469 v2 · 2013-08-12 · 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{FVPHPEYOXQXOM47PU7STIJ3X4V}

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	2026-05-18T03:15:05.388899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d5e77930ebc2ee673efa7e5342777e578d3ca7d7ea4c9d3b7d0324dbd6fabf5

Aliases

arxiv: 1308.2469 · arxiv_version: 1308.2469v2 · doi: 10.48550/arxiv.1308.2469 · pith_short_12: FVPHPEYOXQXO · pith_short_16: FVPHPEYOXQXOM47P · pith_short_8: FVPHPEYO

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/FVPHPEYOXQXOM47PU7STIJ3X4V \
  | 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: 2d5e77930ebc2ee673efa7e5342777e578d3ca7d7ea4c9d3b7d0324dbd6fabf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edb2b81d6dc24442e8f92c8a3fd803b1e87610006fb3831f0418451f338e46b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-12T06:10:36Z",
    "title_canon_sha256": "6926819466c8da9cc9a7f85c0dfe096a72610dde41327dcdecd6932f5dda8bd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2469",
    "kind": "arxiv",
    "version": 2
  }
}