Pith Number

pith:PRAI22JW

pith:2000:PRAI22JWQNBDO2OJ4FBQ5QJ57J

not attested not anchored not stored refs pending

Bekenstein bounds in de Sitter and flat space

Raphael Bousso

arxiv:hep-th/0012052 v1 · 2000-12-07 · 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{PRAI22JWQNBDO2OJ4FBQ5QJ57J}

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

An Algebra of Observables for de Sitter Space

Receipt and verification

First computed	2026-07-04T16:21:08.017359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c408d693683423769c9e1430ec13dfa68edfd9be3534a859a7e063d16e38fb0

Aliases

arxiv: hep-th/0012052 · arxiv_version: hep-th/0012052v1 · doi: 10.48550/arxiv.hep-th/0012052 · pith_short_12: PRAI22JWQNBD · pith_short_16: PRAI22JWQNBDO2OJ · pith_short_8: PRAI22JW

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/PRAI22JWQNBDO2OJ4FBQ5QJ57J \
  | 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: 7c408d693683423769c9e1430ec13dfa68edfd9be3534a859a7e063d16e38fb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a612622828823b9cff31ddd3b72c81a3a3877075af4d21f9684afdc89fcc6aa0",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-12-07T02:41:10Z",
    "title_canon_sha256": "0680a3203c02b1f7b3381ca66b9aa4f885fb91373e9ac1f028d61506b25d91f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0012052",
    "kind": "arxiv",
    "version": 1
  }
}