Pith Number

pith:PSKW5LOL

pith:2012:PSKW5LOLUDADTYGKYFB2RIOZWM

not attested not anchored not stored refs pending

A Note on Efficient Computation of All Abelian Periods in a String

Costas Iliopoulos, Jakub Pachocki, Jakub Radoszewski, Marcin Kubica, Maxime Crochemore, Tomasz Kociumaka, Tomasz Wale\'n, Wojciech Rytter, Wojciech Tyczy\'nski

arxiv:1208.3313 v1 · 2012-08-16 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSKW5LOLUDADTYGKYFB2RIOZWM}

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	2026-05-18T02:21:01.097730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c956eadcba0c039e0cac143a8a1d9b317904711767ae4df5305e018b26d7671

Aliases

arxiv: 1208.3313 · arxiv_version: 1208.3313v1 · doi: 10.48550/arxiv.1208.3313 · pith_short_12: PSKW5LOLUDAD · pith_short_16: PSKW5LOLUDADTYGK · pith_short_8: PSKW5LOL

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/PSKW5LOLUDADTYGKYFB2RIOZWM \
  | 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: 7c956eadcba0c039e0cac143a8a1d9b317904711767ae4df5305e018b26d7671

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e071de389c443804d240b23eb86bc903e18d66e6f19da81603a93b6ac25ac9b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-08-16T08:33:36Z",
    "title_canon_sha256": "1e60d261d110c381ab24259309c5e95de52b1911ba66f69f0bd2f7f1d65bf2b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3313",
    "kind": "arxiv",
    "version": 1
  }
}