Pith Number

pith:2ABZKOJW

pith:2014:2ABZKOJW4AEN3X7XPXOEH7KZDT

not attested not anchored not stored refs pending

Bifix codes and interval exchanges

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

arxiv:1408.0389 v2 · 2014-08-02 · 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{2ABZKOJW4AEN3X7XPXOEH7KZDT}

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	2026-05-18T02:26:45.355286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d003953936e008dddff77ddc43fd591cd76412faf16da0b89c23f343c21e0bc2

Aliases

arxiv: 1408.0389 · arxiv_version: 1408.0389v2 · doi: 10.48550/arxiv.1408.0389 · pith_short_12: 2ABZKOJW4AEN · pith_short_16: 2ABZKOJW4AEN3X7X · pith_short_8: 2ABZKOJW

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/2ABZKOJW4AEN3X7XPXOEH7KZDT \
  | 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: d003953936e008dddff77ddc43fd591cd76412faf16da0b89c23f343c21e0bc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c5c536276796f91cf754149140e270758fd1633e7c30cc5b94f1b736058c79b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-02T15:53:41Z",
    "title_canon_sha256": "eec4d3e8d727f92b5c26255ff235fcd95c993c6292ec39fdccdc682946c28654"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0389",
    "kind": "arxiv",
    "version": 2
  }
}