Pith Number

pith:HLOWTCGE

pith:2008:HLOWTCGERA3SUNSNLDB2Q35QWH

not attested not anchored not stored refs pending

Spanning Trees on the Two-Dimensional Lattices with More Than One Type of Vertex

Shu-Chiuan Chang

arxiv:0808.3041 v1 · 2008-08-22 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HLOWTCGERA3SUNSNLDB2Q35QWH}

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	2026-05-18T03:05:07.947842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3add6988c488372a364d58c3a86fb0b1f605f594e31a26eb05961a1e986616a4

Aliases

arxiv: 0808.3041 · arxiv_version: 0808.3041v1 · doi: 10.48550/arxiv.0808.3041 · pith_short_12: HLOWTCGERA3S · pith_short_16: HLOWTCGERA3SUNSN · pith_short_8: HLOWTCGE

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/HLOWTCGERA3SUNSNLDB2Q35QWH \
  | 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: 3add6988c488372a364d58c3a86fb0b1f605f594e31a26eb05961a1e986616a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b475ac2124e07b5572b6c6db912ae470d7e58e54cdeff91a32df6a3ddbbf5ca9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2008-08-22T08:39:30Z",
    "title_canon_sha256": "43625e8ec6bdf6bb3ce7e2a627dfdeb077320b96f3322527cf5ce95fc1aae66a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.3041",
    "kind": "arxiv",
    "version": 1
  }
}