Pith Number

pith:7NAUBRZG

pith:2010:7NAUBRZGMB2IUVNMRK7GHCKKF7

not attested not anchored not stored refs pending

CMB observations in LTB universes: Part I: Matching peak positions in the CMB spectrum

Chul-Moon Yoo, Ken-ichi Nakao, Misao Sasaki

arxiv:1005.0048 v3 · 2010-05-01 · 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{7NAUBRZGMB2IUVNMRK7GHCKKF7}

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	2026-05-18T02:33:33.085031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb4140c72660748a55ac8abe63894a2fdb0721fd9b49d2e536fa3820e324bcce

Aliases

arxiv: 1005.0048 · arxiv_version: 1005.0048v3 · doi: 10.48550/arxiv.1005.0048 · pith_short_12: 7NAUBRZGMB2I · pith_short_16: 7NAUBRZGMB2IUVNM · pith_short_8: 7NAUBRZG

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/7NAUBRZGMB2IUVNMRK7GHCKKF7 \
  | 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: fb4140c72660748a55ac8abe63894a2fdb0721fd9b49d2e536fa3820e324bcce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93a1ffc451d4ffad53570f1edcf784b047939c6c80e3447742732865b72600d2",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-05-01T06:22:38Z",
    "title_canon_sha256": "285cf5f019c202f5d37fc6fe381e98cf465819658374715b1a9be8a7c111f391"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0048",
    "kind": "arxiv",
    "version": 3
  }
}