Pith Number

pith:K6RCR3SA

pith:2010:K6RCR3SAXTVZMLOD5VPVDK6HJO

not attested not anchored not stored refs pending

On possible growth of Toeplitz languages

Anna Frid, Fedor Petrov, Julien Cassaigne

arxiv:1003.1489 v2 · 2010-03-07 · 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{K6RCR3SAXTVZMLOD5VPVDK6HJO}

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	2026-05-18T04:32:33.987236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57a228ee40bceb962dc3ed5f51abc74b92b2ca92fdea8d32cf09915e138cb427

Aliases

arxiv: 1003.1489 · arxiv_version: 1003.1489v2 · doi: 10.48550/arxiv.1003.1489 · pith_short_12: K6RCR3SAXTVZ · pith_short_16: K6RCR3SAXTVZMLOD · pith_short_8: K6RCR3SA

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/K6RCR3SAXTVZMLOD5VPVDK6HJO \
  | 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: 57a228ee40bceb962dc3ed5f51abc74b92b2ca92fdea8d32cf09915e138cb427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fafb25c9363ed63ccd4ddfa0c3da9bfedb5105af1ca170e3e104b33d2b855c3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-03-07T16:49:26Z",
    "title_canon_sha256": "97c306749ee33487d6e7e334422cf90c3b57e55dd6ce8b6aa25e9fb3a4f9522f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1489",
    "kind": "arxiv",
    "version": 2
  }
}