Pith Number

pith:MVM6CU64

pith:2012:MVM6CU64CQSOMX4S5T625X2MG3

not attested not anchored not stored refs pending

Counting Spanning Trees of Threshold Graphs

Donniell E. Fishkind, Stephen R. Chestnut

arxiv:1208.4125 v2 · 2012-08-20 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVM6CU64CQSOMX4S5T625X2MG3}

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	2026-05-18T03:36:58.026043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6559e153dc1424e65f92ecfdaedf4c36ce7080aad4778e64380818576bb6fdb2

Aliases

arxiv: 1208.4125 · arxiv_version: 1208.4125v2 · doi: 10.48550/arxiv.1208.4125 · pith_short_12: MVM6CU64CQSO · pith_short_16: MVM6CU64CQSOMX4S · pith_short_8: MVM6CU64

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/MVM6CU64CQSOMX4S5T625X2MG3 \
  | 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: 6559e153dc1424e65f92ecfdaedf4c36ce7080aad4778e64380818576bb6fdb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c27a69d940c859d7c3543fddb094f5dc85ec5208590c59a2654bb410118cc92",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-20T21:24:37Z",
    "title_canon_sha256": "dbd79e81be8e974523051b794228e9053ae0ea7b20386a1e4ce1bd1d094c190e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4125",
    "kind": "arxiv",
    "version": 2
  }
}