Pith Number

pith:L6CU2L25

pith:1994:L6CU2L25WMQ2IHUEEEELGWKW76

not attested not anchored not stored refs pending

Density Perturbations of Quantum Mechanical Origin and Anisotropy of the Microwave Background

L. P. Grishchuk

arxiv:gr-qc/9405059 v1 · 1994-05-25 · gr-qc · astro-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{L6CU2L25WMQ2IHUEEEELGWKW76}

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	2026-05-18T04:35:34.353204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f854d2f5db321a41e842108b35956ff89318c77369f9bbd074f2186673a2775

Aliases

arxiv: gr-qc/9405059 · arxiv_version: gr-qc/9405059v1 · doi: 10.48550/arxiv.gr-qc/9405059 · pith_short_12: L6CU2L25WMQ2 · pith_short_16: L6CU2L25WMQ2IHUE · pith_short_8: L6CU2L25

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/L6CU2L25WMQ2IHUEEEELGWKW76 \
  | 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: 5f854d2f5db321a41e842108b35956ff89318c77369f9bbd074f2186673a2775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "176ae31dfc57f27757e6469c26301f11fe3382fbb71ae572cbe196b463eaaa46",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1994-05-25T16:41:59Z",
    "title_canon_sha256": "be5b99f6d0657ef62527c2b1e91f8153e1239c62116b80297bd478bafdb2e44c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9405059",
    "kind": "arxiv",
    "version": 1
  }
}