Pith Number

pith:THNME6WD

pith:2012:THNME6WDG4FZFVXLBWOE43D5JB

not attested not anchored not stored refs pending

Algorithms for Computing Abelian Periods of Words

Arnaud Lefebvre, Elise Prieur-Gaston, Gabriele Fici, Thierry Lecroq

arxiv:1211.5389 v2 · 2012-11-22 · cs.DS · cs.DM · 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{THNME6WDG4FZFVXLBWOE43D5JB}

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	2026-05-18T03:05:35.780333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99dac27ac3370b92d6eb0d9c4e6c7d485d047532498e9df3d2accf062c1d8dc2

Aliases

arxiv: 1211.5389 · arxiv_version: 1211.5389v2 · doi: 10.48550/arxiv.1211.5389 · pith_short_12: THNME6WDG4FZ · pith_short_16: THNME6WDG4FZFVXL · pith_short_8: THNME6WD

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/THNME6WDG4FZFVXLBWOE43D5JB \
  | 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: 99dac27ac3370b92d6eb0d9c4e6c7d485d047532498e9df3d2accf062c1d8dc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a7e2c992bbab5f037963a55c6ffb5c3228a53029678c9130d200bb3a67d572b",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-11-22T22:32:07Z",
    "title_canon_sha256": "00f367d880bb68ed2c3e12c0dc97ef0e304222a82e4e7c6f74f98656a5d39e5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5389",
    "kind": "arxiv",
    "version": 2
  }
}