Pith Number

pith:5Y7BEYSS

pith:1996:5Y7BEYSSD42VLUDPCKGDQY5ARJ

not attested not anchored not stored refs pending

On the Back Reaction Problem for Gravitational Perturbations

L.R.W. Abramo (Brown Univ.), R. Brandenberger (Brown Univ.), V. Mukhanov (ETH Zuerich)

arxiv:gr-qc/9609026 v1 · 1996-09-10 · gr-qc · astro-ph · 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{5Y7BEYSSD42VLUDPCKGDQY5ARJ}

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

Measurements in stochastic gravity and thermal variance

Receipt and verification

First computed	2026-07-04T15:21:31.114903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee3e1262521f3555d06f128c3863a08a6685516d1c6dcbabfe5dfec0ef6f5dc5

Aliases

arxiv: gr-qc/9609026 · arxiv_version: gr-qc/9609026v1 · doi: 10.48550/arxiv.gr-qc/9609026 · pith_short_12: 5Y7BEYSSD42V · pith_short_16: 5Y7BEYSSD42VLUDP · pith_short_8: 5Y7BEYSS

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/5Y7BEYSSD42VLUDPCKGDQY5ARJ \
  | 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: ee3e1262521f3555d06f128c3863a08a6685516d1c6dcbabfe5dfec0ef6f5dc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "233fcf93684f0c60404c5fdbbf42f11a8332b6ab3635068e7fb5f37e898fe892",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-09-10T12:35:08Z",
    "title_canon_sha256": "e1745103a1d863df6d3727f51ee680c29a2b99daf5036f8a84273dddebe8f07d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9609026",
    "kind": "arxiv",
    "version": 1
  }
}