Pith Number

pith:QG7SSDBR

pith:2011:QG7SSDBR2W2DP4QP7KCFGSI3NW

not attested not anchored not stored refs pending

Circular words and applications

Beno\^it Rittaud (Laboratoire Analyse, G\'eom\'etrie et Applications, Institut Galil\'ee, Laurent Vivier (Laboratoire de Didactique Andr\'e Revuz, Universit\'e Paris-13), Universit\'e Paris Diderot)

arxiv:1108.3618 v1 · 2011-08-18 · cs.FL · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QG7SSDBR2W2DP4QP7KCFGSI3NW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:15:15.761595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81bf290c31d5b437f20ffa8453491b6d967e72a6c56d4831a40134928ee9c21e

Aliases

arxiv: 1108.3618 · arxiv_version: 1108.3618v1 · doi: 10.48550/arxiv.1108.3618 · pith_short_12: QG7SSDBR2W2D · pith_short_16: QG7SSDBR2W2DP4QP · pith_short_8: QG7SSDBR

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/QG7SSDBR2W2DP4QP7KCFGSI3NW \
  | 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: 81bf290c31d5b437f20ffa8453491b6d967e72a6c56d4831a40134928ee9c21e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89821dfc7028ee77ec8228ecb2a472f9edbd8b98d7fd86ddb9582b218b7e4e91",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2011-08-18T03:52:14Z",
    "title_canon_sha256": "8cb9c0f92894c50abc6919db564b49f7471c14cfcde3490877a9eddf9c446460"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3618",
    "kind": "arxiv",
    "version": 1
  }
}