Pith Number

pith:AO4DRC5L

pith:2011:AO4DRC5LOQKZS3XBSLO6I7IKCG

not attested not anchored not stored refs pending

Logarithmic stacks and minimality

W. D. Gillam

arxiv:1103.2140 v1 · 2011-03-10 · 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{AO4DRC5LOQKZS3XBSLO6I7IKCG}

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	2026-05-18T04:26:56.117265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03b8388bab7415996ee192dde47d0a11a2355debd1e7155a91bb20c58b372fd6

Aliases

arxiv: 1103.2140 · arxiv_version: 1103.2140v1 · doi: 10.48550/arxiv.1103.2140 · pith_short_12: AO4DRC5LOQKZ · pith_short_16: AO4DRC5LOQKZS3XB · pith_short_8: AO4DRC5L

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/AO4DRC5LOQKZS3XBSLO6I7IKCG \
  | 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: 03b8388bab7415996ee192dde47d0a11a2355debd1e7155a91bb20c58b372fd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3219e3c1d651c9acc81ae6b396313e33ebed5bd3608efed9b8820c830a087697",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-10T21:12:46Z",
    "title_canon_sha256": "5118c0a2ed0256eb10fdaae4c089603bf123e0334a77f66deb5bdc9db57e09df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2140",
    "kind": "arxiv",
    "version": 1
  }
}