Pith Number

pith:MJUSKU4X

pith:1997:MJUSKU4XVXUBOFKP47WDXOP6TI

not attested not anchored not stored refs pending

Black Holes and Thermodynamics

Robert M. Wald

arxiv:gr-qc/9702022 v1 · 1997-02-11 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJUSKU4XVXUBOFKP47WDXOP6TI}

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

1 paper in Pith

The Black Hole Singularity as a Thermodynamic System being the Seat of BH Entropy

Receipt and verification

First computed	2026-07-04T14:26:06.442173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6269255397ade817154fe7ec3bb9fe9a0625e770a3047f7471abf451aaca8a48

Aliases

arxiv: gr-qc/9702022 · arxiv_version: gr-qc/9702022v1 · doi: 10.48550/arxiv.gr-qc/9702022 · pith_short_12: MJUSKU4XVXUB · pith_short_16: MJUSKU4XVXUBOFKP · pith_short_8: MJUSKU4X

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/MJUSKU4XVXUBOFKP47WDXOP6TI \
  | 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: 6269255397ade817154fe7ec3bb9fe9a0625e770a3047f7471abf451aaca8a48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1445f0564819efc008cde420acf1283aeb74fdc22426dbeffc6d35be9a715d96",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-02-11T23:02:27Z",
    "title_canon_sha256": "1026cc477dacaa89f0108512acbe2d09cc55894135df37f1deb4f42ddacef54c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9702022",
    "kind": "arxiv",
    "version": 1
  }
}