Pith Number

pith:7ST3SHRG

pith:2013:7ST3SHRGLRJTTEW6BDC6EYQHO6

not attested not anchored not stored refs pending

Binary Patterns in Binary Cube-Free Words: Avoidability and Growth

Alexei V. Samsonov, Arseny M. Shur, Pascal Ochem, Robert Mercas

arxiv:1301.4682 v1 · 2013-01-20 · 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{7ST3SHRGLRJTTEW6BDC6EYQHO6}

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	2026-05-17T23:53:35.848789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fca7b91e265c533992de08c5e2620777a38ffa8425806764135fc8b959102fe3

Aliases

arxiv: 1301.4682 · arxiv_version: 1301.4682v1 · doi: 10.48550/arxiv.1301.4682 · pith_short_12: 7ST3SHRGLRJT · pith_short_16: 7ST3SHRGLRJTTEW6 · pith_short_8: 7ST3SHRG

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/7ST3SHRGLRJTTEW6BDC6EYQHO6 \
  | 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: fca7b91e265c533992de08c5e2620777a38ffa8425806764135fc8b959102fe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f68172a8a36f2aa123827d3b21c6bd7d317cc24fa19bae9f434b393675770bd8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2013-01-20T20:05:49Z",
    "title_canon_sha256": "d94146fb06d742b9d0469287ee04c94b9c63624b2b674fedd7d73486d48941c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4682",
    "kind": "arxiv",
    "version": 1
  }
}