Pith Number

pith:WRHGDWU4

pith:2006:WRHGDWU4ZLM22XAMHO5C7KRKS7

not attested not anchored not stored refs pending

Charged Black Hole in a Canonical Ensemble

Andrew P. Lundgren (Cornell University)

arxiv:gr-qc/0612119 v1 · 2006-12-19 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRHGDWU4ZLM22XAMHO5C7KRKS7}

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.

Cited by

3 papers in Pith

Black hole equations of state and response functions

Thermodynamic Phase Transitions in Einstein-Maxwell-Scalar-Gauss-Bonnet Gravity

Black holes at a finite distance: Quasi-local restricted phase space formalism

Receipt and verification

First computed	2026-07-04T15:25:05.692344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b44e61da9ccad9ad5c0c3bba2faa2a97cabddb31a5e98cffa7e1b1ac34c8d3ab

Aliases

arxiv: gr-qc/0612119 · arxiv_version: gr-qc/0612119v1 · doi: 10.48550/arxiv.gr-qc/0612119 · pith_short_12: WRHGDWU4ZLM2 · pith_short_16: WRHGDWU4ZLM22XAM · pith_short_8: WRHGDWU4

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/WRHGDWU4ZLM22XAMHO5C7KRKS7 \
  | 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: b44e61da9ccad9ad5c0c3bba2faa2a97cabddb31a5e98cffa7e1b1ac34c8d3ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c7665cba7cd9625732bf756836aa1672101d7f22cae12db99d382702d20fd5e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-12-19T20:52:56Z",
    "title_canon_sha256": "5526ed878372c4259d486c0c6674f46487b4670d5242ff9280a5fa6f32da894d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0612119",
    "kind": "arxiv",
    "version": 1
  }
}