Pith Number

pith:EWYWT6F5

pith:2012:EWYWT6F5JWO7WD3AKOYQVSMUXI

not attested not anchored not stored refs pending

Repetition Avoidance in Circular Factors

Hamoon Mousavi, Jeffrey Shallit

arxiv:1212.0052 v3 · 2012-12-01 · 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{EWYWT6F5JWO7WD3AKOYQVSMUXI}

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	2026-05-18T03:30:41.322002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25b169f8bd4d9dfb0f6053b10ac994ba19ff30ab53cb4ec508c9370c4956cb28

Aliases

arxiv: 1212.0052 · arxiv_version: 1212.0052v3 · doi: 10.48550/arxiv.1212.0052 · pith_short_12: EWYWT6F5JWO7 · pith_short_16: EWYWT6F5JWO7WD3A · pith_short_8: EWYWT6F5

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/EWYWT6F5JWO7WD3AKOYQVSMUXI \
  | 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: 25b169f8bd4d9dfb0f6053b10ac994ba19ff30ab53cb4ec508c9370c4956cb28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a870f3617f72353a1909ed6df9fdbf6d3355f364b75ad2efebcd0d440f736647",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2012-12-01T01:35:53Z",
    "title_canon_sha256": "5c0ad7d473b470f30fd326fef32d1e329028832d22f2cd5c7dd4d8abcb1c14d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0052",
    "kind": "arxiv",
    "version": 3
  }
}