Pith Number

pith:ZME7DVVJ

pith:2015:ZME7DVVJBHUJVE3I4PMUAWXDYI

not attested not anchored not stored refs pending

A note on the longest common Abelian factor problem

Szymon Grabowski

arxiv:1503.01093 v3 · 2015-03-03 · 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{ZME7DVVJBHUJVE3I4PMUAWXDYI}

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	2026-05-18T02:25:04.368815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb09f1d6a909e89a9368e3d9405ae3c20df1d2984555a886d7eb7ccb08769a9d

Aliases

arxiv: 1503.01093 · arxiv_version: 1503.01093v3 · doi: 10.48550/arxiv.1503.01093 · pith_short_12: ZME7DVVJBHUJ · pith_short_16: ZME7DVVJBHUJVE3I · pith_short_8: ZME7DVVJ

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/ZME7DVVJBHUJVE3I4PMUAWXDYI \
  | 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: cb09f1d6a909e89a9368e3d9405ae3c20df1d2984555a886d7eb7ccb08769a9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8ecfb4f82d06b9bdc7512d93af0712acde209f30c8e45479a0ad32183161539",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-03-03T20:37:41Z",
    "title_canon_sha256": "d1cae2691fabc0a533ae92dc0d64a4d456a827309bd9c3c869db704d18c4f1ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01093",
    "kind": "arxiv",
    "version": 3
  }
}