Pith Number

pith:YZFIKB3L

pith:2012:YZFIKB3LZ7HBQEH5QWCPMVBKPG

not attested not anchored not stored refs pending

Balance properties of Arnoux-Rauzy words

Julien Cassaigne (IML), Val\'erie Berth\'e (LIAFA), Wolfgang Steiner (LIAFA)

arxiv:1212.5106 v1 · 2012-12-20 · 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{YZFIKB3LZ7HBQEH5QWCPMVBKPG}

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	2026-05-18T03:06:42.993490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c64a85076bcfce1810fd8584f6542a79a08f2bb1ad00a171b8332115e1c0b929

Aliases

arxiv: 1212.5106 · arxiv_version: 1212.5106v1 · doi: 10.48550/arxiv.1212.5106 · pith_short_12: YZFIKB3LZ7HB · pith_short_16: YZFIKB3LZ7HBQEH5 · pith_short_8: YZFIKB3L

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/YZFIKB3LZ7HBQEH5QWCPMVBKPG \
  | 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: c64a85076bcfce1810fd8584f6542a79a08f2bb1ad00a171b8332115e1c0b929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c018c428aa003cbc27519fd482e76866f9cb9f6c3b3804f01e411e33cfaacfe",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2012-12-20T16:00:07Z",
    "title_canon_sha256": "30bfdbf37ec97b77c942bcb58dcfe1f3d600bba12813e020ccd17af8538b38bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5106",
    "kind": "arxiv",
    "version": 1
  }
}