Pith Number

pith:Z42PWRFA

pith:2010:Z42PWRFA4AEY7KN5RY2BSPO3WZ

not attested not anchored not stored refs pending

Analytic formulae for the off-center CMB anisotropy in a general spherically symmetric universe

Akihiro Ishibashi, Hideo Kodama, Keiki Saito

arxiv:1004.3089 v2 · 2010-04-19 · 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{Z42PWRFA4AEY7KN5RY2BSPO3WZ}

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.

Receipt and verification

First computed	2026-05-18T04:38:48.329709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf34fb44a0e0098fa9bd8e34193ddbb66c2ae6efbb586d1d25fcef57f56f0761

Aliases

arxiv: 1004.3089 · arxiv_version: 1004.3089v2 · doi: 10.48550/arxiv.1004.3089 · pith_short_12: Z42PWRFA4AEY · pith_short_16: Z42PWRFA4AEY7KN5 · pith_short_8: Z42PWRFA

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/Z42PWRFA4AEY7KN5RY2BSPO3WZ \
  | 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: cf34fb44a0e0098fa9bd8e34193ddbb66c2ae6efbb586d1d25fcef57f56f0761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c525d50de37a5426f3b10245e1e1f8680cbfa78973e91d8db4dcfcd5278c5c19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-04-19T04:20:50Z",
    "title_canon_sha256": "1a5104fc52ea1f91dfb87eb31a3b21716239db30348a849729506f1ef8998e4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3089",
    "kind": "arxiv",
    "version": 2
  }
}