Pith Number

pith:WHJBSKUP

pith:2007:WHJBSKUPJHPOPA34RTHDCRDUIH

not attested not anchored not stored refs pending

Black Hole Thermodynamics and Hamilton-Jacobi Counterterm

Daniel Grumiller, Luzi Bergamin, Rene Meyer, Robert McNees

arxiv:0710.4140 v2 · 2007-10-23 · hep-th · 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{WHJBSKUPJHPOPA34RTHDCRDUIH}

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	2026-07-04T15:27:53.687710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1d2192a8f49dee7837c8cce31447441d70fee0b3a15c297689b6396ade5a09b

Aliases

arxiv: 0710.4140 · arxiv_version: 0710.4140v2 · doi: 10.48550/arxiv.0710.4140 · pith_short_12: WHJBSKUPJHPO · pith_short_16: WHJBSKUPJHPOPA34 · pith_short_8: WHJBSKUP

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/WHJBSKUPJHPOPA34RTHDCRDUIH \
  | 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: b1d2192a8f49dee7837c8cce31447441d70fee0b3a15c297689b6396ade5a09b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "398f8cb2fe6334619a6dcd52bcade72326563074b06bc889f72c58fb3e084b4b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-10-23T16:19:57Z",
    "title_canon_sha256": "3b988dbd50f5d4c286b02bc9e7165a414fd4cc6b4c3dd5bf017bfcc7b30e4d99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.4140",
    "kind": "arxiv",
    "version": 2
  }
}