Pith Number

pith:WOZT7B6N

pith:2009:WOZT7B6NU7QZTSR46UZPST2JWZ

not attested not anchored not stored refs pending

Optimising Boltzmann codes for the Planck era

Amedeo Balbi, Claudia Quercellini, Jan Hamann, Julien Lesgourgues

arxiv:0903.0382 v1 · 2009-03-02 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WOZT7B6NU7QZTSR46UZPST2JWZ}

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	2026-07-04T17:14:30.338791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3b33f87cda7e199ca3cf532f94f49b65a2e55545ef45ef62b1069fafa0607f0

Aliases

arxiv: 0903.0382 · arxiv_version: 0903.0382v1 · doi: 10.48550/arxiv.0903.0382 · pith_short_12: WOZT7B6NU7QZ · pith_short_16: WOZT7B6NU7QZTSR4 · pith_short_8: WOZT7B6N

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/WOZT7B6NU7QZTSR46UZPST2JWZ \
  | 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: b3b33f87cda7e199ca3cf532f94f49b65a2e55545ef45ef62b1069fafa0607f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7dc676431de2df432b8931de287f9789ece5604e7b9138e8dea9b65ccd6068f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-03-02T21:25:20Z",
    "title_canon_sha256": "b721201f97b93690de6cc997b3d82f8b593bb70c6b191dd7097d5383f6e64395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0382",
    "kind": "arxiv",
    "version": 1
  }
}