Pith Number

pith:SLYO74AJ

pith:2012:SLYO74AJZD3HFWA63WZ7SUXWAS

not attested not anchored not stored refs pending

{\Gamma}-species and the enumeration of k-trees

Andrew Gainer-Dewar

arxiv:1208.5993 v3 · 2012-08-29 · 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{SLYO74AJZD3HFWA63WZ7SUXWAS}

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	2026-05-18T01:33:24.683019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92f0eff009c8f672d81eddb3f952f604bcdd7e7f44b1cf2eca3a435a3b03af75

Aliases

arxiv: 1208.5993 · arxiv_version: 1208.5993v3 · doi: 10.48550/arxiv.1208.5993 · pith_short_12: SLYO74AJZD3H · pith_short_16: SLYO74AJZD3HFWA6 · pith_short_8: SLYO74AJ

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/SLYO74AJZD3HFWA63WZ7SUXWAS \
  | 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: 92f0eff009c8f672d81eddb3f952f604bcdd7e7f44b1cf2eca3a435a3b03af75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef49b18063e9e72e60d5a239f4e60407ddcd4879b7b08eed6d83f0ce6b75074f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-29T19:08:36Z",
    "title_canon_sha256": "f00e93eb5c985623666c479bd034c5f5a538d5bb76c36374aee40cd061c40af4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5993",
    "kind": "arxiv",
    "version": 3
  }
}