Pith Number

pith:45F7QKOF

pith:2013:45F7QKOFO2AOROSIW2VNIZRS2W

not attested not anchored not stored refs pending

Notes on sets of first return

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

arxiv:1308.5618 v2 · 2013-08-26 · 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{45F7QKOFO2AOROSIW2VNIZRS2W}

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	2026-05-18T03:13:59.491801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e74bf829c57680e8ba48b6aad46632d58a6fb6b47e42f7d251455d00fff322f2

Aliases

arxiv: 1308.5618 · arxiv_version: 1308.5618v2 · doi: 10.48550/arxiv.1308.5618 · pith_short_12: 45F7QKOFO2AO · pith_short_16: 45F7QKOFO2AOROSI · pith_short_8: 45F7QKOF

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/45F7QKOFO2AOROSIW2VNIZRS2W \
  | 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: e74bf829c57680e8ba48b6aad46632d58a6fb6b47e42f7d251455d00fff322f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "822c5a31c7b9f804c20d9f0a4c41bc93ae7e02937272311dc1ee626da1886726",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-26T15:53:11Z",
    "title_canon_sha256": "e2c1052e1eb08b8ce6ee8ad4a56032e9720b29606033993381d9df1b59f3a844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5618",
    "kind": "arxiv",
    "version": 2
  }
}