Pith Number

pith:2S3GHH6Q

pith:2012:2S3GHH6QV2SRU6W6EOY5A755KW

not attested not anchored not stored refs pending

Least periods of k-automatic sequences

Daniel Goc, Jeffrey Shallit

arxiv:1207.5450 v1 · 2012-07-23 · cs.FL · 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{2S3GHH6QV2SRU6W6EOY5A755KW}

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	2026-05-18T03:50:23.421891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4b6639fd0aea51a7ade23b1d07fbd55847db65d84a5f475df8c62ddcef54168

Aliases

arxiv: 1207.5450 · arxiv_version: 1207.5450v1 · doi: 10.48550/arxiv.1207.5450 · pith_short_12: 2S3GHH6QV2SR · pith_short_16: 2S3GHH6QV2SRU6W6 · pith_short_8: 2S3GHH6Q

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/2S3GHH6QV2SRU6W6EOY5A755KW \
  | 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: d4b6639fd0aea51a7ade23b1d07fbd55847db65d84a5f475df8c62ddcef54168

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f792e9e56e91c2a9d15a7852baab2a508fff1b05365f2861d00a9d0870cfe894",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2012-07-23T16:46:13Z",
    "title_canon_sha256": "f5c8d4536e51cd697c4af1f3ebfb48de1cf33331f58d8b89ab0312cfe098c1ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5450",
    "kind": "arxiv",
    "version": 1
  }
}