Pith Number

pith:5LSLTL3T

pith:2011:5LSLTL3TL5TX43BLOFLTPQSQMJ

not attested not anchored not stored refs pending

Races among products

Alexander Berkovich, Keith Grizzell

arxiv:1112.3392 v3 · 2011-12-14 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5LSLTL3TL5TX43BLOFLTPQSQMJ}

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	2026-05-18T03:06:34.770660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eae4b9af735f677e6c2b715737c250627b7a255deb4c3992b8b4f6abf812860b

Aliases

arxiv: 1112.3392 · arxiv_version: 1112.3392v3 · doi: 10.48550/arxiv.1112.3392 · pith_short_12: 5LSLTL3TL5TX · pith_short_16: 5LSLTL3TL5TX43BL · pith_short_8: 5LSLTL3T

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/5LSLTL3TL5TX43BLOFLTPQSQMJ \
  | 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: eae4b9af735f677e6c2b715737c250627b7a255deb4c3992b8b4f6abf812860b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ec88cd36b07c305c3818523e5f7bf7a6a8d66820c4ed4b670161f215d169294",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-14T23:26:26Z",
    "title_canon_sha256": "94b097883ed0a98ad57773ce90fcde1b6537607ecf96c927dd1d18721f1f4321"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3392",
    "kind": "arxiv",
    "version": 3
  }
}