Pith Number

pith:A32DBLTA

pith:2010:A32DBLTAXSXGCD5X75XEMNDZLF

not attested not anchored not stored refs pending

Borel generators

Christopher A. Francisco, Jay Schweig, Jeffrey Mermin

arxiv:1006.1436 v2 · 2010-06-08 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A32DBLTAXSXGCD5X75XEMNDZLF}

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	2026-05-18T04:37:22.041945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06f430ae60bcae610fb7ff6e463479596a5713089dbe4787456033d53ae580cc

Aliases

arxiv: 1006.1436 · arxiv_version: 1006.1436v2 · doi: 10.48550/arxiv.1006.1436 · pith_short_12: A32DBLTAXSXG · pith_short_16: A32DBLTAXSXGCD5X · pith_short_8: A32DBLTA

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/A32DBLTAXSXGCD5X75XEMNDZLF \
  | 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: 06f430ae60bcae610fb7ff6e463479596a5713089dbe4787456033d53ae580cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c582e8b7ec3b0592474b353b2fa5dce2d63e10c8120ea62d70b7f061fd58b44",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-06-08T01:21:35Z",
    "title_canon_sha256": "cccdd90ce9b362ead3cf3889996703c9e7090b9acf55aabacd82f586b6445e1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1436",
    "kind": "arxiv",
    "version": 2
  }
}