Pith Number

pith:J75ZP3EH

pith:2012:J75ZP3EHBM4PBVB74B3ZQTEJJ6

not attested not anchored not stored refs pending

Enumerating Trees

Robert A. Kucharczyk

arxiv:1201.1851 v1 · 2012-01-09 · math.NT · 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{J75ZP3EHBM4PBVB74B3ZQTEJJ6}

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	2026-05-18T04:04:55.524892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ffb97ec870b38f0d43fe077984c894fad0710609e0b3f07bd85b3e2c3ede6db

Aliases

arxiv: 1201.1851 · arxiv_version: 1201.1851v1 · doi: 10.48550/arxiv.1201.1851 · pith_short_12: J75ZP3EHBM4P · pith_short_16: J75ZP3EHBM4PBVB7 · pith_short_8: J75ZP3EH

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/J75ZP3EHBM4PBVB74B3ZQTEJJ6 \
  | 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: 4ffb97ec870b38f0d43fe077984c894fad0710609e0b3f07bd85b3e2c3ede6db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5afe92aec1b59f84c93261da50be68547c201d216db0d38388a7607206131f8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-09T17:42:36Z",
    "title_canon_sha256": "071f739931ac7f8c0cf411fa95dd670147b56b99c79e1552d9576a0e4727172e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1851",
    "kind": "arxiv",
    "version": 1
  }
}