Pith Number

pith:YG4XHKQK

pith:2011:YG4XHKQKTCJIFJK2B6WDZQGP6T

not attested not anchored not stored refs pending

The Kirchhoff's Matrix-Tree Theorem revisited: counting spanning trees with the quantum relative entropy

Simone Severini, Vittorio Giovannetti

arxiv:1102.2398 v1 · 2011-02-11 · quant-ph · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YG4XHKQKTCJIFJK2B6WDZQGP6T}

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	2026-05-18T04:28:56.065435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1b973aa0a989282a55a0fac3cc0cff4f8096aff1214fa1769ab6d63901d3084

Aliases

arxiv: 1102.2398 · arxiv_version: 1102.2398v1 · doi: 10.48550/arxiv.1102.2398 · pith_short_12: YG4XHKQKTCJI · pith_short_16: YG4XHKQKTCJIFJK2 · pith_short_8: YG4XHKQK

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/YG4XHKQKTCJIFJK2B6WDZQGP6T \
  | 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: c1b973aa0a989282a55a0fac3cc0cff4f8096aff1214fa1769ab6d63901d3084

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c1cee351c9ccb7dddcc69020a6ad52fbfda561ab551d583b513fc141b938f24",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-02-11T17:17:42Z",
    "title_canon_sha256": "f08b0af849e5503324d2c41ae5b4789d362d75695b621be8bf2f715105c59f5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2398",
    "kind": "arxiv",
    "version": 1
  }
}