Pith Number

pith:FQO4QKEV

pith:2004:FQO4QKEVQXRGWYGDB22BWW4OML

not attested not anchored not stored refs pending

Back-Reaction of Cosmological Perturbations in the Infinite Wavelength Approximation

C. S. Lam, Robert H. Brandenberger

arxiv:hep-th/0407048 v1 · 2004-07-07 · 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{FQO4QKEVQXRGWYGDB22BWW4OML}

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

Spatial anisotropies from long wavelength scalar and tensor modes

Receipt and verification

First computed	2026-07-04T14:32:15.894272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c1dc8289585e26b60c30eb41b5b8e62cf125265321f2afda4db7725de6eb647

Aliases

arxiv: hep-th/0407048 · arxiv_version: hep-th/0407048v1 · doi: 10.48550/arxiv.hep-th/0407048 · pith_short_12: FQO4QKEVQXRG · pith_short_16: FQO4QKEVQXRGWYGD · pith_short_8: FQO4QKEV

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/FQO4QKEVQXRGWYGDB22BWW4OML \
  | 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: 2c1dc8289585e26b60c30eb41b5b8e62cf125265321f2afda4db7725de6eb647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eceae11c84361ae22a69c50793a9658584971af303eda6e6df41319ef38993f1",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-07-07T14:47:15Z",
    "title_canon_sha256": "8d010e50a233d3eea6ae3261f3ea25c60e06bc8d8990eb76fdd8ca4b38272dcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0407048",
    "kind": "arxiv",
    "version": 1
  }
}