Pith Number

pith:AJ7GMB3V

pith:2011:AJ7GMB3V5HUBSMZIVL7K3HUPYU

not attested not anchored not stored refs pending

CCC-predicted low-variance circles in CMB sky and LCDM

R. Penrose, V. G. Gurzadyan

arxiv:1104.5675 v1 · 2011-04-29 · 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{AJ7GMB3V5HUBSMZIVL7K3HUPYU}

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	2026-05-18T04:23:11.364771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

027e660775e9e8193328aafead9e8fc5213c24fc1f03128a5424b9f815929e2d

Aliases

arxiv: 1104.5675 · arxiv_version: 1104.5675v1 · doi: 10.48550/arxiv.1104.5675 · pith_short_12: AJ7GMB3V5HUB · pith_short_16: AJ7GMB3V5HUBSMZI · pith_short_8: AJ7GMB3V

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/AJ7GMB3V5HUBSMZIVL7K3HUPYU \
  | 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: 027e660775e9e8193328aafead9e8fc5213c24fc1f03128a5424b9f815929e2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bad2146fa864dbdcd0306ca3c9c4b5a361ac3955890c9a069c22c150b1a4cbff",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-04-29T16:36:16Z",
    "title_canon_sha256": "76c1e8dfc4655eb4a7eb2f1311b0ca28ddd5cd085debc78e417c8a434fb4be08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5675",
    "kind": "arxiv",
    "version": 1
  }
}