Pith Number

pith:GSCRJTTH

pith:2006:GSCRJTTH4FZ7SPTW4QU52XLVJO

not attested not anchored not stored refs pending

Black hole entropy as entanglement entropy: a holographic derivation

Roberto Emparan

arxiv:hep-th/0603081 v3 · 2006-03-10 · 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{GSCRJTTH4FZ7SPTW4QU52XLVJO}

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

2 papers in Pith

Lectures on entanglement entropy in field theory and holography

Holographic complexity of conformal fields in global de Sitter spacetime

Receipt and verification

First computed	2026-07-04T17:01:52.566701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

348514ce67e173f93e76e429dd5d754bbc61e6c5e315a6c32e417ac97bba1b8d

Aliases

arxiv: hep-th/0603081 · arxiv_version: hep-th/0603081v3 · doi: 10.48550/arxiv.hep-th/0603081 · pith_short_12: GSCRJTTH4FZ7 · pith_short_16: GSCRJTTH4FZ7SPTW · pith_short_8: GSCRJTTH

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/GSCRJTTH4FZ7SPTW4QU52XLVJO \
  | 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: 348514ce67e173f93e76e429dd5d754bbc61e6c5e315a6c32e417ac97bba1b8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7da96f511fabbfd381e9d737f0cd63db4c1b6e97ed3cc142ed0043a214599a96",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-03-10T14:21:08Z",
    "title_canon_sha256": "338e86e43270dc153e291292ef1937c609a72747edceee1aa92eb101d2d814fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0603081",
    "kind": "arxiv",
    "version": 3
  }
}