Pith Number

pith:2ZGFRCWC

pith:2010:2ZGFRCWCVDBCNY7UAU4CAFQNKZ

not attested not anchored not stored refs pending

The tight-coupling approximation for baryon acoustic oscillations

Cyril Pitrou

arxiv:1012.0546 v1 · 2010-12-02 · astro-ph.CO · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZGFRCWCVDBCNY7UAU4CAFQNKZ}

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

The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes

Receipt and verification

First computed	2026-05-18T02:04:35.855177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d64c588ac2a8c226e3f4053820160d5657af160d0e7d809f58cf11bbb9e657ec

Aliases

arxiv: 1012.0546 · arxiv_version: 1012.0546v1 · doi: 10.48550/arxiv.1012.0546 · pith_short_12: 2ZGFRCWCVDBC · pith_short_16: 2ZGFRCWCVDBCNY7U · pith_short_8: 2ZGFRCWC

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/2ZGFRCWCVDBCNY7UAU4CAFQNKZ \
  | 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: d64c588ac2a8c226e3f4053820160d5657af160d0e7d809f58cf11bbb9e657ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c401abadde5f4fb16769ada6fd40b71f5064d40c07b798ab7251b61353a6f64",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-12-02T19:33:34Z",
    "title_canon_sha256": "838dd3dc70f92ee4ab01fcfe307e6b001dc73976984838138be5b72b8be99708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0546",
    "kind": "arxiv",
    "version": 1
  }
}