Pith Number

pith:MH3UJ55Z

pith:2015:MH3UJ55ZWXVL4SFYVGA43DKLDE

not attested not anchored not stored refs pending

Words with many palindrome pair factors

Adam Borchert, Narad Rampersad

arxiv:1509.05396 v1 · 2015-09-17 · math.CO · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MH3UJ55ZWXVL4SFYVGA43DKLDE}

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	2026-05-18T01:32:44.056815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61f744f7b9b5eabe48b8a981cd8d4b191989fbf65d514fb2149f8de3720a30da

Aliases

arxiv: 1509.05396 · arxiv_version: 1509.05396v1 · doi: 10.48550/arxiv.1509.05396 · pith_short_12: MH3UJ55ZWXVL · pith_short_16: MH3UJ55ZWXVL4SFY · pith_short_8: MH3UJ55Z

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/MH3UJ55ZWXVL4SFYVGA43DKLDE \
  | 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: 61f744f7b9b5eabe48b8a981cd8d4b191989fbf65d514fb2149f8de3720a30da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75101d5b407588c26ec65324a8ffb6fe2a58c8ad2496e786fa6037aa8f5c079c",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-17T19:51:34Z",
    "title_canon_sha256": "3554b5b97340ebf5cf0bbe3ed8959a50452ceabc709fc31de7b3a7c0d190db07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05396",
    "kind": "arxiv",
    "version": 1
  }
}