Pith Number

pith:4JJ4VPUB

pith:2012:4JJ4VPUBZLPWGXQI7X7BP4IJAR

not attested not anchored not stored refs pending

On minimal factorizations of words as products of palindromes

Anna E. Frid, Luca Zamboni, Svetlana Puzynina

arxiv:1210.6179 v2 · 2012-10-23 · math.CO · 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{4JJ4VPUBZLPWGXQI7X7BP4IJAR}

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	2026-05-18T03:42:25.073380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e253cabe81cadf635e08fdfe17f1090445d2403ca831a41114719cbaca08953d

Aliases

arxiv: 1210.6179 · arxiv_version: 1210.6179v2 · doi: 10.48550/arxiv.1210.6179 · pith_short_12: 4JJ4VPUBZLPW · pith_short_16: 4JJ4VPUBZLPWGXQI · pith_short_8: 4JJ4VPUB

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/4JJ4VPUBZLPWGXQI7X7BP4IJAR \
  | 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: e253cabe81cadf635e08fdfe17f1090445d2403ca831a41114719cbaca08953d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d49543651453632c6bd5bc30b2b0b7cfa099705095da011aee5645632644eba",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-23T10:03:31Z",
    "title_canon_sha256": "e6e7cb03fbcf9ff52503b205ae201d70d1f5d49653e81ff1a6b1ba910536229c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6179",
    "kind": "arxiv",
    "version": 2
  }
}