Pith Number

pith:S2SA7JVI

pith:2023:S2SA7JVIJ6BV44CWHLO5PBOUWN

not attested not anchored not stored refs pending

Dyck Words, Pattern Avoidance, and Automatic Sequences

Jeffrey Shallit, Lucas Mol, Narad Rampersad

arxiv:2301.06145 v3 · 2023-01-15 · cs.DM · 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{S2SA7JVIJ6BV44CWHLO5PBOUWN}

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	2026-05-20T14:03:16.299993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96a40fa6a84f835e70563addd785d4b36ae7c0227b3241e707d74e3ca013cb5a

Aliases

arxiv: 2301.06145 · arxiv_version: 2301.06145v3 · doi: 10.48550/arxiv.2301.06145 · pith_short_12: S2SA7JVIJ6BV · pith_short_16: S2SA7JVIJ6BV44CW · pith_short_8: S2SA7JVI

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/S2SA7JVIJ6BV44CWHLO5PBOUWN \
  | 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: 96a40fa6a84f835e70563addd785d4b36ae7c0227b3241e707d74e3ca013cb5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25a9933289506e7f3b774948bc59e9190294da428ac45827f8a29490ca2fb51a",
    "cross_cats_sorted": [
      "cs.FL",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2023-01-15T17:20:56Z",
    "title_canon_sha256": "c7dcb6e38e63549eba4a94666c97af74964e03a853a475050eeabcbce931633f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.06145",
    "kind": "arxiv",
    "version": 3
  }
}