Pith Number

pith:2PORGTUQ

pith:2012:2PORGTUQFNWYZJPXPDBK266S2X

not attested not anchored not stored refs pending

A Beginner's Guide to Counting Spanning Trees in a Graph

Saad Quader

arxiv:1207.7033 v2 · 2012-07-30 · cs.DM · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PORGTUQFNWYZJPXPDBK266S2X}

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	2026-05-18T03:49:35.650087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3dd134e902b6d8ca5f778c2ad7bd2d5e63e2720b224dc434ce83baf947df987

Aliases

arxiv: 1207.7033 · arxiv_version: 1207.7033v2 · doi: 10.48550/arxiv.1207.7033 · pith_short_12: 2PORGTUQFNWY · pith_short_16: 2PORGTUQFNWYZJPX · pith_short_8: 2PORGTUQ

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/2PORGTUQFNWYZJPXPDBK266S2X \
  | 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: d3dd134e902b6d8ca5f778c2ad7bd2d5e63e2720b224dc434ce83baf947df987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb846cafd1749b49780b0db71a7dfa036533e88913bf1b7e8b7d23c22109d6da",
    "cross_cats_sorted": [
      "math.CO",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-07-30T18:36:25Z",
    "title_canon_sha256": "9bd1b437b079409415015fd8bae91dda7519d9e0db5f82dd07c2143f248d47b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7033",
    "kind": "arxiv",
    "version": 2
  }
}