Pith Number

pith:3FDE6JQF

pith:1997:3FDE6JQFSY5U4AB6CCHSTXCENE

not attested not anchored not stored refs pending

On the Entropy and the Density Matrix of Cosmological Perturbations

A. Feinstein, I.L. Egusquiza, M.A. Perez Sebastian, M.A. Valle Basagoiti

arxiv:gr-qc/9709061 v1 · 1997-09-24 · 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{3FDE6JQFSY5U4AB6CCHSTXCENE}

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	2026-05-18T02:37:29.373585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9464f2605963b4e003e108f29dc44692825e7efad524e172d58d99b2fa403e3

Aliases

arxiv: gr-qc/9709061 · arxiv_version: gr-qc/9709061v1 · doi: 10.48550/arxiv.gr-qc/9709061 · pith_short_12: 3FDE6JQFSY5U · pith_short_16: 3FDE6JQFSY5U4AB6 · pith_short_8: 3FDE6JQF

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/3FDE6JQFSY5U4AB6CCHSTXCENE \
  | 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: d9464f2605963b4e003e108f29dc44692825e7efad524e172d58d99b2fa403e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4d4d83c85802e650c1dec840a8989fc4b1f3fb8d05aacce0f69d157496494c6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-09-24T14:11:55Z",
    "title_canon_sha256": "52e0426749c199bf1eb55dfcde406f6e7c0fb1b742ffc082bb52f5872278f97b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9709061",
    "kind": "arxiv",
    "version": 1
  }
}