Pith Number

pith:HLOQKC3B

pith:2008:HLOQKC3BJJDYKHTDQMXERRCFKQ

not attested not anchored not stored refs pending

Cosmological Perturbations at Second Order and Recombination Perturbed

Leonardo Senatore, Matias Zaldarriaga, Svetlin Tassev

arxiv:0812.3652 v1 · 2008-12-18 · 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{HLOQKC3BJJDYKHTDQMXERRCFKQ}

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

Acoustically driven dark matter freeze-out

Receipt and verification

First computed	2026-07-04T15:51:48.043917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3add050b614a47851e63832e48c4455420a29137238a7228fcae1319e1d3dd87

Aliases

arxiv: 0812.3652 · arxiv_version: 0812.3652v1 · doi: 10.48550/arxiv.0812.3652 · pith_short_12: HLOQKC3BJJDY · pith_short_16: HLOQKC3BJJDYKHTD · pith_short_8: HLOQKC3B

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/HLOQKC3BJJDYKHTDQMXERRCFKQ \
  | 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: 3add050b614a47851e63832e48c4455420a29137238a7228fcae1319e1d3dd87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9789a85be1077fe916944bd910bf76d69a06859b874752a9e27c75fa0609438c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-12-18T20:54:17Z",
    "title_canon_sha256": "efdfeb39b14345db7faa3acbeac89bd3c24297c7782a7df68b7f7798248f86e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3652",
    "kind": "arxiv",
    "version": 1
  }
}