Pith Number

pith:53TOPU4I

pith:2015:53TOPU4IDHYWJ54JG2YPFQPI3H

not attested not anchored not stored refs pending

Closed, Palindromic, Rich, Privileged, Trapezoidal, and Balanced Words in Automatic Sequences

Jeffrey Shallit, Luke Schaeffer

arxiv:1508.02074 v2 · 2015-08-09 · cs.FL · cs.DM · 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{53TOPU4IDHYWJ54JG2YPFQPI3H}

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	2026-05-18T01:25:46.752617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eee6e7d38819f164f78936b0f2c1e8d9d41ffd7721fc07ee5c03ff46e05fa0a9

Aliases

arxiv: 1508.02074 · arxiv_version: 1508.02074v2 · doi: 10.48550/arxiv.1508.02074 · pith_short_12: 53TOPU4IDHYW · pith_short_16: 53TOPU4IDHYWJ54J · pith_short_8: 53TOPU4I

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/53TOPU4IDHYWJ54JG2YPFQPI3H \
  | 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: eee6e7d38819f164f78936b0f2c1e8d9d41ffd7721fc07ee5c03ff46e05fa0a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d38c38c4bf9bfc57874218f9b47c799ef72edd1f4ae68380efa7a82dfa97b34",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-08-09T19:28:45Z",
    "title_canon_sha256": "c32f54c6d5b37ad3712704a94ebf340004395439fec0f65e72514c9621db5f32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02074",
    "kind": "arxiv",
    "version": 2
  }
}