Pith Number

pith:3H25MGVS

pith:1996:3H25MGVSZX4TUVI6F3JRKLDHK5

not attested not anchored not stored refs pending

On Quantum Statistical Mechanics of a Schwarzschild Black Hole

Kirill V. Krasnov (Penn State)

arxiv:gr-qc/9605047 v3 · 1996-05-21 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3H25MGVSZX4TUVI6F3JRKLDHK5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

1 paper in Pith

Quantum-Corrected Thermodynamics of Conformal Weyl Gravity Black Holes: GUP Effects and Phase Transitions

Receipt and verification

First computed	2026-05-18T01:39:19.365259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9f5d61ab2cdf93a551e2ed3152c6757640858287f680eb09d9100715a11929b

Aliases

arxiv: gr-qc/9605047 · arxiv_version: gr-qc/9605047v3 · doi: 10.48550/arxiv.gr-qc/9605047 · pith_short_12: 3H25MGVSZX4T · pith_short_16: 3H25MGVSZX4TUVI6 · pith_short_8: 3H25MGVS

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/3H25MGVSZX4TUVI6F3JRKLDHK5 \
  | 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: d9f5d61ab2cdf93a551e2ed3152c6757640858287f680eb09d9100715a11929b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad489e02a2191c8527e2d865db7113285042495696c1dcba928a96a960413fa4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-05-21T21:59:18Z",
    "title_canon_sha256": "873ba0302a70136e2d5c4967d909c76341067cbafb050a31e057d88e469920fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9605047",
    "kind": "arxiv",
    "version": 3
  }
}