Pith Number

pith:G2KGVJQC

pith:2010:G2KGVJQCCNWJWDZJLNJOCDTB5P

not attested not anchored not stored refs pending

CMB in a box: causal structure and the Fourier-Bessel expansion

Henrique S. Xavier, L. Raul Abramo, Paulo H. Reimberg

arxiv:1005.0563 v1 · 2010-05-04 · 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{G2KGVJQCCNWJWDZJLNJOCDTB5P}

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	2026-05-18T02:33:32.919362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36946aa602136c9b0f295b52e10e61ebd3a4ef892c29d726a5b11e0a2b39bf87

Aliases

arxiv: 1005.0563 · arxiv_version: 1005.0563v1 · doi: 10.48550/arxiv.1005.0563 · pith_short_12: G2KGVJQCCNWJ · pith_short_16: G2KGVJQCCNWJWDZJ · pith_short_8: G2KGVJQC

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/G2KGVJQCCNWJWDZJLNJOCDTB5P \
  | 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: 36946aa602136c9b0f295b52e10e61ebd3a4ef892c29d726a5b11e0a2b39bf87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "914940ab3e125ff66d6402acd69787bf7dc9f6bbf49876138a69497a3db0a5a7",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-05-04T15:46:51Z",
    "title_canon_sha256": "502a362da2835d0b62e7b1c4c4149ca385bde966b5b1d1ac7bab0d8c6dea9212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0563",
    "kind": "arxiv",
    "version": 1
  }
}