Pith Number

pith:FEU252OR

pith:2012:FEU252ORZBERSREGFCELH6DHUB

not attested not anchored not stored refs pending

Some combinatorial sequences associated with context-free grammars

Shi-Mei Ma

arxiv:1208.3104 v2 · 2012-08-15 · 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{FEU252ORZBERSREGFCELH6DHUB}

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	2026-05-18T03:48:26.591395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2929aee9d1c8491944862888b3f867a06733a9ef9d7ab544daec13ad76bdee11

Aliases

arxiv: 1208.3104 · arxiv_version: 1208.3104v2 · doi: 10.48550/arxiv.1208.3104 · pith_short_12: FEU252ORZBER · pith_short_16: FEU252ORZBERSREG · pith_short_8: FEU252OR

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/FEU252ORZBERSREGFCELH6DHUB \
  | 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: 2929aee9d1c8491944862888b3f867a06733a9ef9d7ab544daec13ad76bdee11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8de5d1de12f97034c8b2f1b48b4c8b5eb31c7d3007b33a5350632eb14576dff6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-15T12:34:03Z",
    "title_canon_sha256": "fb1c7ec2718b13f431bc18e4d5351905a4d4c8a628aee310b4c5cf02e22a8e7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3104",
    "kind": "arxiv",
    "version": 2
  }
}