Pith Number

pith:MIOZQ3DW

pith:1999:MIOZQ3DWKSMHEFYC7E6I2MFPDM

not attested not anchored not stored refs pending

The Generalized Second Law of Thermodynamics in Cosmology

Ram Brustein

arxiv:gr-qc/9904061 v2 · 1999-04-26 · 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{MIOZQ3DWKSMHEFYC7E6I2MFPDM}

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

Testing the Generalized Second Law in $(2+1)$-Dimensional Cosmology: Holographic Entropy Bounds and Observational Constraints

Receipt and verification

First computed	2026-07-04T16:13:50.666346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

621d986c765498721702f93c8d30af1b206c2fdcbef245f2c5e84be32eb9a031

Aliases

arxiv: gr-qc/9904061 · arxiv_version: gr-qc/9904061v2 · doi: 10.48550/arxiv.gr-qc/9904061 · pith_short_12: MIOZQ3DWKSMH · pith_short_16: MIOZQ3DWKSMHEFYC · pith_short_8: MIOZQ3DW

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/MIOZQ3DWKSMHEFYC7E6I2MFPDM \
  | 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: 621d986c765498721702f93c8d30af1b206c2fdcbef245f2c5e84be32eb9a031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c6765387b342a9fe208fa44968f612478e8ed1924257dda4591120e8aa06153",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-04-26T15:51:13Z",
    "title_canon_sha256": "6cc3fff2c2b1fc102b1c81620e0cb84b8a63b51c01c5c73c97ec38d688f1911b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9904061",
    "kind": "arxiv",
    "version": 2
  }
}