Pith Number

pith:WFH3IRBV

pith:2012:WFH3IRBVBL24CO4AVNSFMK5PMY

not attested not anchored not stored refs pending

Proof of Brlek-Reutenauer conjecture

Edita Pelantova, Lubomira Balkova, Stepan Starosta

arxiv:1208.2505 v2 · 2012-08-13 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFH3IRBVBL24CO4AVNSFMK5PMY}

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	2026-05-18T03:34:03.086373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b14fb444350af5c13b80ab64562baf662bebfd7ad215bcad9f26327cbfcb0e2e

Aliases

arxiv: 1208.2505 · arxiv_version: 1208.2505v2 · doi: 10.48550/arxiv.1208.2505 · pith_short_12: WFH3IRBVBL24 · pith_short_16: WFH3IRBVBL24CO4A · pith_short_8: WFH3IRBV

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/WFH3IRBVBL24CO4AVNSFMK5PMY \
  | 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: b14fb444350af5c13b80ab64562baf662bebfd7ad215bcad9f26327cbfcb0e2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c314efcea322528bb5a4b0f02a6d734886a1b4c65a9b08546fd4698b91590490",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-13T06:37:48Z",
    "title_canon_sha256": "2a9ae58abe59ca480379571a7aa7778edd778095f7b14988546bf940bc05475f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2505",
    "kind": "arxiv",
    "version": 2
  }
}