Pith Number

pith:ECWPW72Z

pith:2013:ECWPW72ZLXKKR7T6MN4QLHKDUS

not attested not anchored not stored refs pending

The number of binary rotation words

Anna E. Frid, Damien Jamet

arxiv:1302.3722 v1 · 2013-02-15 · math.CO · cs.DM · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECWPW72ZLXKKR7T6MN4QLHKDUS}

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	2026-05-17T23:53:17.901772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20acfb7f595dd4a8fe7e6379059d43a49cc1e980b9c678c281cec83c98025dde

Aliases

arxiv: 1302.3722 · arxiv_version: 1302.3722v1 · doi: 10.48550/arxiv.1302.3722 · pith_short_12: ECWPW72ZLXKK · pith_short_16: ECWPW72ZLXKKR7T6 · pith_short_8: ECWPW72Z

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/ECWPW72ZLXKKR7T6MN4QLHKDUS \
  | 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: 20acfb7f595dd4a8fe7e6379059d43a49cc1e980b9c678c281cec83c98025dde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9986903815016cfc9fb7e2f1828526445d7e5c030d80c2b039bda3588e140640",
    "cross_cats_sorted": [
      "cs.DM",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-15T10:53:31Z",
    "title_canon_sha256": "7cd01d50a4433f64de360e33d62ebde01ba58644395c0513e58090783e456096"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3722",
    "kind": "arxiv",
    "version": 1
  }
}