Pith Number

pith:BGMT4SF2

pith:2010:BGMT4SF22TLKEBBXCAKKIMAS74

not attested not anchored not stored refs pending

On ternary square-free circular words

Arseny M. Shur

arxiv:1009.5759 v1 · 2010-09-29 · 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{BGMT4SF22TLKEBBXCAKKIMAS74}

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	2026-05-18T04:38:50.227162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09993e48bad4d6a204371014a43012ff18b12f75f9712d07f36297392c940e39

Aliases

arxiv: 1009.5759 · arxiv_version: 1009.5759v1 · doi: 10.48550/arxiv.1009.5759 · pith_short_12: BGMT4SF22TLK · pith_short_16: BGMT4SF22TLKEBBX · pith_short_8: BGMT4SF2

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/BGMT4SF22TLKEBBXCAKKIMAS74 \
  | 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: 09993e48bad4d6a204371014a43012ff18b12f75f9712d07f36297392c940e39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a56b5b4b599d79d46ce881f8ab5431d43c99a60d66e17e6ee325c19b8ea11d6",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2010-09-29T03:18:26Z",
    "title_canon_sha256": "af0d98f6bd6fed6c1218df60b6dc2b870ee426dfd6963b82591548d75924113b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5759",
    "kind": "arxiv",
    "version": 1
  }
}