Pith Number

pith:F6WZZMGG

pith:2011:F6WZZMGGT7K66NEODXAQA4AEXX

not attested not anchored not stored refs pending

Generalizing the Borel property

Christopher A. Francisco, Jay Schweig, Jeffrey Mermin

arxiv:1110.6373 v1 · 2011-10-28 · 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{F6WZZMGGT7K66NEODXAQA4AEXX}

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	2026-05-18T02:58:00.300945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fad9cb0c69fd5ef348e1dc1007004bde4f3af453662988d44c6f6006464c85c

Aliases

arxiv: 1110.6373 · arxiv_version: 1110.6373v1 · doi: 10.48550/arxiv.1110.6373 · pith_short_12: F6WZZMGGT7K6 · pith_short_16: F6WZZMGGT7K66NEO · pith_short_8: F6WZZMGG

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/F6WZZMGGT7K66NEODXAQA4AEXX \
  | 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: 2fad9cb0c69fd5ef348e1dc1007004bde4f3af453662988d44c6f6006464c85c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c5af783f68224dc062405ed58a065e62378eb8225d9c223bc35b5036b6d8fb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-28T15:43:26Z",
    "title_canon_sha256": "89e715601307010f45fe2d36f943c17dcddc19c8bdcd7d39ce1e90ea9b62a25c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6373",
    "kind": "arxiv",
    "version": 1
  }
}