Pith Number

pith:34MXKXUZ

pith:2003:34MXKXUZHTBDUJDCAKUXMDGHA3

not attested not anchored not stored refs pending

Horizon Entropy

Renaud Parentani, Ted Jacobson

arxiv:gr-qc/0302099 v1 · 2003-02-25 · 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{34MXKXUZHTBDUJDCAKUXMDGHA3}

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

4 papers in Pith

Searching for primordial features with radio surveys: synergy between the power spectrum and bispectrum

Modular theory and affine representations on the Rindler horizon

Modave lectures on energy conditions in quantum field theory and semi-classical gravity

Jacobson's thermodynamic approach to classical gravity applied to non-Riemannian geometries: remarks on the simplicity of Nature

Receipt and verification

First computed	2026-07-05T05:05:19.094189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df19755e993cc23a246202a9760cc706d2802edd7192ebf9a067594db5b8a6ae

Aliases

arxiv: gr-qc/0302099 · arxiv_version: gr-qc/0302099v1 · doi: 10.48550/arxiv.gr-qc/0302099 · pith_short_12: 34MXKXUZHTBD · pith_short_16: 34MXKXUZHTBDUJDC · pith_short_8: 34MXKXUZ

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/34MXKXUZHTBDUJDCAKUXMDGHA3 \
  | 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: df19755e993cc23a246202a9760cc706d2802edd7192ebf9a067594db5b8a6ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18502f3812b8b38aa6cd1c865234d2b92846223f8add1d6301dc60d491b1caf1",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-02-25T05:42:47Z",
    "title_canon_sha256": "1c473b76309fab8babbf862df73e28bd279299afc03f405f5476ce7c140fc32d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0302099",
    "kind": "arxiv",
    "version": 1
  }
}