Pith Number

pith:QNDUA5PQ

pith:2012:QNDUA5PQQLGPWG55MPX7WJEZK7

not attested not anchored not stored refs pending

Virtual classes of Artin stacks

Flavia Poma

arxiv:1211.4339 v2 · 2012-11-19 · 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{QNDUA5PQQLGPWG55MPX7WJEZK7}

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	2026-05-18T01:36:22.363900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83474075f082ccfb1bbd63effb249957ed919244a66fce3796bef061de136404

Aliases

arxiv: 1211.4339 · arxiv_version: 1211.4339v2 · doi: 10.48550/arxiv.1211.4339 · pith_short_12: QNDUA5PQQLGP · pith_short_16: QNDUA5PQQLGPWG55 · pith_short_8: QNDUA5PQ

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/QNDUA5PQQLGPWG55MPX7WJEZK7 \
  | 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: 83474075f082ccfb1bbd63effb249957ed919244a66fce3796bef061de136404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d159c7422b791d898e0c5bc9d6a280ae7b9b23e741bf42aef66f30b99b082bac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-19T09:08:27Z",
    "title_canon_sha256": "9a17bac6c6f437c71bb10b110956e8d9a3c007d7a523c83322fe8ec0a2e9287b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4339",
    "kind": "arxiv",
    "version": 2
  }
}