Pith Number

pith:4LD3WYJQ

pith:2012:4LD3WYJQIHYNSSCQ4VBE4QAF24

not attested not anchored not stored refs pending

CMB at 2x2 order: the dissipation of primordial acoustic waves and the observable part of the associated energy release

Jens Chluba, Rashid A. Sunyaev, Rishi Khatri

arxiv:1202.0057 v2 · 2012-02-01 · astro-ph.CO · gr-qc · 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{4LD3WYJQIHYNSSCQ4VBE4QAF24}

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

Probing the small-scale primordial power spectrum via relic neutrinos and acoustic reheating

Receipt and verification

First computed	2026-05-18T01:58:37.202410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2c7bb613041f0d94850e5424e4005d736055e2120758be5d4b8d6052126b831

Aliases

arxiv: 1202.0057 · arxiv_version: 1202.0057v2 · doi: 10.48550/arxiv.1202.0057 · pith_short_12: 4LD3WYJQIHYN · pith_short_16: 4LD3WYJQIHYNSSCQ · pith_short_8: 4LD3WYJQ

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/4LD3WYJQIHYNSSCQ4VBE4QAF24 \
  | 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: e2c7bb613041f0d94850e5424e4005d736055e2120758be5d4b8d6052126b831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d646d381b6a077f33140d51f1dc4985804ce49aad2d6db0435ff2187e5302289",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-02-01T00:04:35Z",
    "title_canon_sha256": "06af7387d2e5af739d6ed1c92d09c898d6a9c9b81ac1a3582a661572de33752a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0057",
    "kind": "arxiv",
    "version": 2
  }
}