Pith Number

pith:S2QJ5D4K

pith:2013:S2QJ5D4KSBUGZMS6IHOQB3AVX7

not attested not anchored not stored refs pending

Maximal bifix decoding

and Julien Leroy, Christophe Reutenauer, Clelia De Felice, Dominique Perrin, Francesco Dolce, Giuseppina Rindone, Val\'erie Berth\'e

arxiv:1308.5396 v4 · 2013-08-25 · 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{S2QJ5D4KSBUGZMS6IHOQB3AVX7}

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	2026-05-18T02:26:32.007018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96a09e8f8a90686cb25e41dd00ec15bfd3af5713bdf5cf206c2088831e1ebe8a

Aliases

arxiv: 1308.5396 · arxiv_version: 1308.5396v4 · doi: 10.48550/arxiv.1308.5396 · pith_short_12: S2QJ5D4KSBUG · pith_short_16: S2QJ5D4KSBUGZMS6 · pith_short_8: S2QJ5D4K

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/S2QJ5D4KSBUGZMS6IHOQB3AVX7 \
  | 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: 96a09e8f8a90686cb25e41dd00ec15bfd3af5713bdf5cf206c2088831e1ebe8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3ba7d6513f03d6c878fea665a8577e910b81a20bf8e462b04fc0f25d8929364",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-25T10:43:57Z",
    "title_canon_sha256": "81655849143dc41b2d186bc4b339bea01c53928d49ea5dbdee1013c9551d5abf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5396",
    "kind": "arxiv",
    "version": 4
  }
}