Pith Number

pith:O2J7AOJM

pith:2002:O2J7AOJM5ZWYYOROUK4Z2RXZFG

not attested not anchored not stored refs pending

Back Reaction of Cosmological Perturbations and the Cosmological Constant Problem

Robert H. Brandenberger

arxiv:hep-th/0210165 v1 · 2002-10-17 · hep-th · astro-ph · gr-qc · 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{O2J7AOJM5ZWYYOROUK4Z2RXZFG}

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	2026-07-04T14:31:52.272556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7693f0392cee6d8c3a2ea2b99d46f929b8a5e1fccfc6b37c7072bf3fb2db14e0

Aliases

arxiv: hep-th/0210165 · arxiv_version: hep-th/0210165v1 · doi: 10.48550/arxiv.hep-th/0210165 · pith_short_12: O2J7AOJM5ZWY · pith_short_16: O2J7AOJM5ZWYYORO · pith_short_8: O2J7AOJM

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/O2J7AOJM5ZWYYOROUK4Z2RXZFG \
  | 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: 7693f0392cee6d8c3a2ea2b99d46f929b8a5e1fccfc6b37c7072bf3fb2db14e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39f992de6af2501bf04103d8ac4d8721e99ed67bb0dc3cf254a6bff2fc9522cd",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-10-17T13:52:48Z",
    "title_canon_sha256": "3659b7f5cd406b25be50c18cad0bcee425d61c23ca6917af77dc7dd4816cfef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0210165",
    "kind": "arxiv",
    "version": 1
  }
}