Pith Number

pith:3CHC5W4Z

pith:2012:3CHC5W4ZGBNVLTIUS3RAZVAITA

not attested not anchored not stored refs pending

Identifying all abelian periods of a string in quadratic time and relevant problems

Costas S. Iliopoulos, Maxime Crochemore, Michalis Christou

arxiv:1207.1307 v1 · 2012-07-05 · cs.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{3CHC5W4ZGBNVLTIUS3RAZVAITA}

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	2026-05-18T02:21:08.509643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d88e2edb99305b55cd1496e20cd4089822a5abbe0f0677a2436158282310c869

Aliases

arxiv: 1207.1307 · arxiv_version: 1207.1307v1 · doi: 10.48550/arxiv.1207.1307 · pith_short_12: 3CHC5W4ZGBNV · pith_short_16: 3CHC5W4ZGBNVLTIU · pith_short_8: 3CHC5W4Z

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/3CHC5W4ZGBNVLTIUS3RAZVAITA \
  | 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: d88e2edb99305b55cd1496e20cd4089822a5abbe0f0677a2436158282310c869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79ec519e82985c8387aa14f6fc0cb82bdc2b968f4aeb64cd2f1a7b517f536596",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-07-05T17:43:50Z",
    "title_canon_sha256": "c51ea95e89f828eab94c545d618a8f9af355149a74dc97110c102f461cbbedc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1307",
    "kind": "arxiv",
    "version": 1
  }
}