Pith Number

pith:JWKWI62L

pith:2013:JWKWI62LMISMLAGFSL3MZEUGVR

not attested not anchored not stored refs pending

On the Number of Closed Factors in a Word

Gabriele Fici, Golnaz Badkobeh, Zsuzsanna Lipt\'ak

arxiv:1305.6395 v3 · 2013-05-28 · cs.FL · 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{JWKWI62LMISMLAGFSL3MZEUGVR}

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	2026-05-18T02:32:31.133785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d95647b4b6224c580c592f6cc9286ac6594e2fb78072d2d3630c407648d6419

Aliases

arxiv: 1305.6395 · arxiv_version: 1305.6395v3 · doi: 10.48550/arxiv.1305.6395 · pith_short_12: JWKWI62LMISM · pith_short_16: JWKWI62LMISMLAGF · pith_short_8: JWKWI62L

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/JWKWI62LMISMLAGFSL3MZEUGVR \
  | 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: 4d95647b4b6224c580c592f6cc9286ac6594e2fb78072d2d3630c407648d6419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d0374147afe79475c1f5d24949e8a36850af8237995d1cf17d432605e39ca2b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2013-05-28T07:44:39Z",
    "title_canon_sha256": "dc8da8703246c7aecbbfafbd17f4aa08d053cc418cfeca9c065f94b318f79d29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6395",
    "kind": "arxiv",
    "version": 3
  }
}