Pith Number

pith:EAWTA22Z

pith:2011:EAWTA22ZPS4VPGLS53LEH23BBR

not attested not anchored not stored refs pending

Counting spanning trees in self-similar networks by evaluating determinants

Bin Wu, Guanrong Chen, Yuan Lin, Zhongzhi Zhang

arxiv:1105.0565 v2 · 2011-05-03 · 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{EAWTA22ZPS4VPGLS53LEH23BBR}

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	2026-05-18T04:08:12.464122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

202d306b597cb9579972eed643eb610c7a3c0249ed4063a7ad50f391489dec01

Aliases

arxiv: 1105.0565 · arxiv_version: 1105.0565v2 · doi: 10.48550/arxiv.1105.0565 · pith_short_12: EAWTA22ZPS4V · pith_short_16: EAWTA22ZPS4VPGLS · pith_short_8: EAWTA22Z

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/EAWTA22ZPS4VPGLS53LEH23BBR \
  | 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: 202d306b597cb9579972eed643eb610c7a3c0249ed4063a7ad50f391489dec01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c0bbb7dee20e3d70e0b8078f86c8d852b6ffd27f50f09f13631ec2bb767498e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-05-03T12:32:55Z",
    "title_canon_sha256": "e284de8154369574585896bdd672c4ee2e5aa5d58998274d781f7863d34999d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0565",
    "kind": "arxiv",
    "version": 2
  }
}