Pith Number

pith:FVVA36JG

pith:2010:FVVA36JGLOSQXKIUVLBLLN6MXR

not attested not anchored not stored refs pending

The F5 Criterion revised

Alberto Arri, John Perry

arxiv:1012.3664 v6 · 2010-12-16 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FVVA36JGLOSQXKIUVLBLLN6MXR}

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	2026-05-18T01:19:00.725155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d6a0df9265ba50ba914aac2b5b7ccbc6fc251ff46e1c4eb870571ad36a891ff

Aliases

arxiv: 1012.3664 · arxiv_version: 1012.3664v6 · doi: 10.48550/arxiv.1012.3664 · pith_short_12: FVVA36JGLOSQ · pith_short_16: FVVA36JGLOSQXKIU · pith_short_8: FVVA36JG

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/FVVA36JGLOSQXKIUVLBLLN6MXR \
  | 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: 2d6a0df9265ba50ba914aac2b5b7ccbc6fc251ff46e1c4eb870571ad36a891ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aa8cb69b6e9363276736cd9d8b42bcadcc2d3f0d8b29f90e40d9b5cd5b10964",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-12-16T16:35:48Z",
    "title_canon_sha256": "e3306f2e853bfad99798ffde14455a7333dd3d75f906098ca3799455ee108252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3664",
    "kind": "arxiv",
    "version": 6
  }
}