Pith Number

pith:N23Z3G5N

pith:2010:N23Z3G5NYX7JE2ZKRA3DTY7LJM

not attested not anchored not stored refs pending

Analytic formulae for CMB anisotropy in LTB cosmology

Akihiro Ishibashi, Hideo Kodama, Keiki Saito

arxiv:1002.3855 v3 · 2010-02-20 · 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{N23Z3G5NYX7JE2ZKRA3DTY7LJM}

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	2026-05-18T02:24:38.715938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6eb79d9badc5fe926b2a883639e3eb4b273f0eec5e91c7c66c0da0ef20d617bd

Aliases

arxiv: 1002.3855 · arxiv_version: 1002.3855v3 · doi: 10.48550/arxiv.1002.3855 · pith_short_12: N23Z3G5NYX7J · pith_short_16: N23Z3G5NYX7JE2ZK · pith_short_8: N23Z3G5N

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/N23Z3G5NYX7JE2ZKRA3DTY7LJM \
  | 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: 6eb79d9badc5fe926b2a883639e3eb4b273f0eec5e91c7c66c0da0ef20d617bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6f2923259357292f07981b43f90157865be020befa0bb9730334a9091b370e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-02-20T07:30:13Z",
    "title_canon_sha256": "4937cac3094a96408c5acdff029b6871346197062771134334fcc8916473119a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3855",
    "kind": "arxiv",
    "version": 3
  }
}