Pith Number

pith:L7AOU2K2

pith:2012:L7AOU2K2KE4UTAJ2YIZ5RA2SMP

not attested not anchored not stored refs pending

More on the O(n) model on random maps via nested loops: loops with bending energy

E. Guitter, G. Borot, J. Bouttier

arxiv:1202.5521 v2 · 2012-02-24 · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7AOU2K2KE4UTAJ2YIZ5RA2SMP}

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	2026-05-18T03:52:50.645153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fc0ea695a513949813ac233d8835263ee2f7c53ec0c5fe81fe7e68fcb432494

Aliases

arxiv: 1202.5521 · arxiv_version: 1202.5521v2 · doi: 10.48550/arxiv.1202.5521 · pith_short_12: L7AOU2K2KE4U · pith_short_16: L7AOU2K2KE4UTAJ2 · pith_short_8: L7AOU2K2

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/L7AOU2K2KE4UTAJ2YIZ5RA2SMP \
  | 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: 5fc0ea695a513949813ac233d8835263ee2f7c53ec0c5fe81fe7e68fcb432494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f50f51fd9c200d0d1968dd35256c319726f7c4ae0a8e0b47e518014166d3fc5f",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-24T18:27:00Z",
    "title_canon_sha256": "50c5ca675a6bc99fd793731b9c47adb7aac6b7c165b8f1a6d922fcce9a7131d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5521",
    "kind": "arxiv",
    "version": 2
  }
}