Pith Number

pith:46N2GDSK

pith:2011:46N2GDSKHXAFSLX6XSG7OUB6NJ

not attested not anchored not stored refs pending

Abelian Complexity of Infinite Words Associated with Quadratic Parry Numbers

Karel B\v{r}inda, Ond\v{r}ej Turek, \v{L}ubom\'ira Balkov\'a

arxiv:1101.1490 v1 · 2011-01-07 · 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{46N2GDSKHXAFSLX6XSG7OUB6NJ}

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	2026-05-18T04:12:21.064064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e79ba30e4a3dc0592efebc8df7503e6a444e47f43e4347204ba10ad0f6100e45

Aliases

arxiv: 1101.1490 · arxiv_version: 1101.1490v1 · doi: 10.48550/arxiv.1101.1490 · pith_short_12: 46N2GDSKHXAF · pith_short_16: 46N2GDSKHXAFSLX6 · pith_short_8: 46N2GDSK

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/46N2GDSKHXAFSLX6XSG7OUB6NJ \
  | 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: e79ba30e4a3dc0592efebc8df7503e6a444e47f43e4347204ba10ad0f6100e45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6dab0ef08cf66482e3bc570a6d192b26f4902528138319055197481af562335",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-07T18:15:25Z",
    "title_canon_sha256": "b1f651f927925d89fc560aaa69316c44fd53bae605734fbf74ec61b208c64fc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1490",
    "kind": "arxiv",
    "version": 1
  }
}