Pith Number

pith:BWPBNLLQ

pith:2012:BWPBNLLQ6KEBQTPHUE44PK75M2

not attested not anchored not stored refs pending

Subword Complexity and k-Synchronization

Daniel Goc, Jeffrey Shallit, Luke Schaeffer

arxiv:1206.5352 v4 · 2012-06-23 · 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{BWPBNLLQ6KEBQTPHUE44PK75M2}

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	2026-05-18T03:45:31.481985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d9e16ad70f288184de7a139c7abfd66952c839f7a4f0ff7f140f255cb251ba0

Aliases

arxiv: 1206.5352 · arxiv_version: 1206.5352v4 · doi: 10.48550/arxiv.1206.5352 · pith_short_12: BWPBNLLQ6KEB · pith_short_16: BWPBNLLQ6KEBQTPH · pith_short_8: BWPBNLLQ

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/BWPBNLLQ6KEBQTPHUE44PK75M2 \
  | 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: 0d9e16ad70f288184de7a139c7abfd66952c839f7a4f0ff7f140f255cb251ba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "602fbc7effcba6b58cb38da625ec4954ebcd89062cf4cd20686fb3c679377440",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2012-06-23T01:50:56Z",
    "title_canon_sha256": "b1cf72ee13619ef46cc81e02ec3996fc5897e20063886c1a547023c2f6c1deaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5352",
    "kind": "arxiv",
    "version": 4
  }
}