Pith Number

pith:KPC3TSYT

pith:2018:KPC3TSYTYS52B5I7FWHQZVM5M7

not attested not anchored not stored refs pending

Black hole entropy and the Bekenstein bound

Raphael Bousso

arxiv:1810.01880 v1 · 2018-10-03 · hep-th · gr-qc · physics.hist-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPC3TSYTYS52B5I7FWHQZVM5M7}

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	2026-05-18T00:04:07.035713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53c5b9cb13c4bba0f51f2d8f0cd59d67c38a815ec2bfb9729d5f3218d76712cf

Aliases

arxiv: 1810.01880 · arxiv_version: 1810.01880v1 · doi: 10.48550/arxiv.1810.01880 · pith_short_12: KPC3TSYTYS52 · pith_short_16: KPC3TSYTYS52B5I7 · pith_short_8: KPC3TSYT

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/KPC3TSYTYS52B5I7FWHQZVM5M7 \
  | 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: 53c5b9cb13c4bba0f51f2d8f0cd59d67c38a815ec2bfb9729d5f3218d76712cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9daf9922ad63566a6e6a8e86ed582dc5185af27fa4c8120aead4a7b7664d565",
    "cross_cats_sorted": [
      "gr-qc",
      "physics.hist-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-10-03T18:00:00Z",
    "title_canon_sha256": "c3b8ea6ec926c04b339e3bc4055744298b3acf1e0aa9f7541ae0086a7b73b893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01880",
    "kind": "arxiv",
    "version": 1
  }
}