Pith Number

pith:Z4SG6MLD

pith:1992:Z4SG6MLDFBRL5UNFHCO6RFYPQI

not attested not anchored not stored refs pending

Entropy of a Classical Stochastic Field and Cosmological Perturbation

R. Brandenberger (Brown), T. Prokopec (Brown), V. Mukhanov (ETH Zuerich)

arxiv:astro-ph/9206005 v1 · 1992-06-24 · astro-ph · hep-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{Z4SG6MLDFBRL5UNFHCO6RFYPQI}

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

A Landscape of Cosmological Decoherence

Receipt and verification

First computed	2026-07-04T15:54:47.771525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf246f31632862bed1a5389de8970f8226f9f7895e10057b1192f6367a51dd71

Aliases

arxiv: astro-ph/9206005 · arxiv_version: astro-ph/9206005v1 · doi: 10.48550/arxiv.astro-ph/9206005 · pith_short_12: Z4SG6MLDFBRL · pith_short_16: Z4SG6MLDFBRL5UNF · pith_short_8: Z4SG6MLD

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/Z4SG6MLDFBRL5UNFHCO6RFYPQI \
  | 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: cf246f31632862bed1a5389de8970f8226f9f7895e10057b1192f6367a51dd71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e4dd4152fd2491b2ddfbf1f87929d2bbd20b3cc6c565658ea321768ae0d222",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1992-06-24T07:35:05Z",
    "title_canon_sha256": "fc2273253c64750e51dbec735f10ad4171096b5e1bb8f70ef32dc2ca4f9ef4fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9206005",
    "kind": "arxiv",
    "version": 1
  }
}