Pith Number

pith:YTNHFSFA

pith:2015:YTNHFSFA572QHW3T46D7QKL7SO

not attested not anchored not stored refs pending

Expression for the Number of Spanning Trees of Line Graphs of Arbitrary Connected Graphs

Fengming Dong, Weigen Yan

arxiv:1507.08022 v3 · 2015-07-29 · 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{YTNHFSFA572QHW3T46D7QKL7SO}

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	2026-05-18T00:46:02.836572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4da72c8a0eff503db73e787f8297f93929a8da8bf9eeba4e3ce3bbc9710bebd

Aliases

arxiv: 1507.08022 · arxiv_version: 1507.08022v3 · doi: 10.48550/arxiv.1507.08022 · pith_short_12: YTNHFSFA572Q · pith_short_16: YTNHFSFA572QHW3T · pith_short_8: YTNHFSFA

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/YTNHFSFA572QHW3T46D7QKL7SO \
  | 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: c4da72c8a0eff503db73e787f8297f93929a8da8bf9eeba4e3ce3bbc9710bebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fed5d7c636ff3feb91c583bd5bbc920f7e8ca3c53981865b5ae3ed508921d9db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-29T05:46:48Z",
    "title_canon_sha256": "16bd28d921e819dbf1d2fd1be723f820467cfb4d8a6d88b783c5aba7d486884f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08022",
    "kind": "arxiv",
    "version": 3
  }
}