Pith Number

pith:IQ5PCS3F

pith:2012:IQ5PCS3F67ZVFEWDZL7JHBVEX6

not attested not anchored not stored refs pending

Resolutions in factorization categories

David Favero, Dragos Deliu, Ludmil Katzarkov, Matthew Ballard, M. Umut Isik

arxiv:1212.3264 v2 · 2012-12-13 · math.CT · math.AC · 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{IQ5PCS3F67ZVFEWDZL7JHBVEX6}

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	2026-05-18T02:52:04.311162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

443af14b65f7f35292c3cafe9386a4bfb07bc9c8d4305751bd929a395c824403

Aliases

arxiv: 1212.3264 · arxiv_version: 1212.3264v2 · doi: 10.48550/arxiv.1212.3264 · pith_short_12: IQ5PCS3F67ZV · pith_short_16: IQ5PCS3F67ZVFEWD · pith_short_8: IQ5PCS3F

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/IQ5PCS3F67ZVFEWDZL7JHBVEX6 \
  | 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: 443af14b65f7f35292c3cafe9386a4bfb07bc9c8d4305751bd929a395c824403

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fdf02d0d10972f84783b9523ab5bfeafaf9722737f0235c62fcdd5f46680c9e",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-12-13T18:48:22Z",
    "title_canon_sha256": "c8a235b90b5742d458784308890270c0b68d2ceb819838458bc8cf0e6e96d818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3264",
    "kind": "arxiv",
    "version": 2
  }
}