Pith Number

pith:3Z534MTV

pith:2019:3Z534MTVSH2Q5QNIINXTO554E6

not attested not anchored not stored refs pending

The repetition threshold for binary rich words

James D. Currie, Lucas Mol, Narad Rampersad

arxiv:1908.03169 v4 · 2019-08-08 · 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{3Z534MTVSH2Q5QNIINXTO554E6}

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	2026-07-05T06:23:27.757062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de7bbe327591f50ec1a8436f3777bc27a95c2b867b15d0db9b127cacbaf0b44d

Aliases

arxiv: 1908.03169 · arxiv_version: 1908.03169v4 · doi: 10.48550/arxiv.1908.03169 · pith_short_12: 3Z534MTVSH2Q · pith_short_16: 3Z534MTVSH2Q5QNI · pith_short_8: 3Z534MTV

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/3Z534MTVSH2Q5QNIINXTO554E6 \
  | 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: de7bbe327591f50ec1a8436f3777bc27a95c2b867b15d0db9b127cacbaf0b44d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db2eabafc696f5541b1a69ed275d0f72f6b6d247cfe8afbf0c918433de75e492",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-08T17:02:16Z",
    "title_canon_sha256": "da0ca07d6a11b5586af4f1c29d1eb1da2505b87894513e61f625bfdf6e469b13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03169",
    "kind": "arxiv",
    "version": 4
  }
}