Pith Number

pith:6XF2VMHI

pith:1997:6XF2VMHI5ESJNXHTSPZVHOVJVW

not attested not anchored not stored refs pending

The stochastic gravitational-wave background produced by non-linear cosmological perturbations

Sabino Matarrese, Silvia Mollerach

arxiv:astro-ph/9705168 v1 · 1997-05-21 · astro-ph · 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{6XF2VMHI5ESJNXHTSPZVHOVJVW}

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	2026-07-04T14:15:07.481720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5cbaab0e8e92496dcf393f353baa9ad8c48385730317c32199aa17e56db2f36

Aliases

arxiv: astro-ph/9705168 · arxiv_version: astro-ph/9705168v1 · doi: 10.48550/arxiv.astro-ph/9705168 · pith_short_12: 6XF2VMHI5ESJ · pith_short_16: 6XF2VMHI5ESJNXHT · pith_short_8: 6XF2VMHI

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/6XF2VMHI5ESJNXHTSPZVHOVJVW \
  | 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: f5cbaab0e8e92496dcf393f353baa9ad8c48385730317c32199aa17e56db2f36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bd7f5f6ee05606c989b6df0e1f2248eba1e37a4c27c6057869162a7c455d0de",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-05-21T15:00:07Z",
    "title_canon_sha256": "8d82eda0bf4cb3248efdcc1f2ff53249d15c0b4b17f3fa3cd625a846bb5f2a36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9705168",
    "kind": "arxiv",
    "version": 1
  }
}