Pith Number

pith:D6VMR5EH

pith:2015:D6VMR5EHS3IBOB7STQ3HQKUPU6

not attested not anchored not stored refs pending

On the number of unary-binary tree-like structures with restrictions on the unary height

Bernhard Gittenberger, Dani\`ele Gardy, Olivier Bodini, Zbigniew Go{\l}\k{e}biewski

arxiv:1510.01167 v1 · 2015-10-05 · 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{D6VMR5EHS3IBOB7STQ3HQKUPU6}

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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	2026-05-18T01:31:04.630868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1faac8f48796d01707f29c36782a8fa78f40f770a02d3c05694d21c58c30edf6

Aliases

arxiv: 1510.01167 · arxiv_version: 1510.01167v1 · doi: 10.48550/arxiv.1510.01167 · pith_short_12: D6VMR5EHS3IB · pith_short_16: D6VMR5EHS3IBOB7S · pith_short_8: D6VMR5EH

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/D6VMR5EHS3IBOB7STQ3HQKUPU6 \
  | 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: 1faac8f48796d01707f29c36782a8fa78f40f770a02d3c05694d21c58c30edf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "476f5374eb364713f28e7637629812e778881b18fa6de99fbce8b108511d6c9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-05T14:36:55Z",
    "title_canon_sha256": "68ba6a05770084b7b1bf39b1093bf394eaf081814b07d48f0e099d236bea3745"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01167",
    "kind": "arxiv",
    "version": 1
  }
}