Pith Number

pith:W2I6JHYD

pith:1998:W2I6JHYDYUSGPA362WGNVPFXQS

not attested not anchored not stored refs pending

Black Hole Entropy and Quantum Gravity

Parthasarathi Majumdar

arxiv:gr-qc/9807045 v3 · 1998-07-17 · 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{W2I6JHYDYUSGPA362WGNVPFXQS}

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	2026-07-04T14:26:12.743023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b691e49f03c52467837ed58cdabcb784bced6f780a47a64448ca5d866c3dba14

Aliases

arxiv: gr-qc/9807045 · arxiv_version: gr-qc/9807045v3 · doi: 10.48550/arxiv.gr-qc/9807045 · pith_short_12: W2I6JHYDYUSG · pith_short_16: W2I6JHYDYUSGPA36 · pith_short_8: W2I6JHYD

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/W2I6JHYDYUSGPA362WGNVPFXQS \
  | 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: b691e49f03c52467837ed58cdabcb784bced6f780a47a64448ca5d866c3dba14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac89d3ccde1e5862e97d16d426102975a9bc5f4ba0c5b4f0ef223d299cb2aa15",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-07-17T12:07:30Z",
    "title_canon_sha256": "353405ef7c843e7e8f4cad90ed09db15c8b432eefba9f7335e831d993a8ac57f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9807045",
    "kind": "arxiv",
    "version": 3
  }
}