Pith Number

pith:OH6QYOKG

pith:2012:OH6QYOKG5M7OTNJNS6T3FJMPYH

not attested not anchored not stored refs pending

Gravity theories, Transverse Doppler and Gravitational Redshifts in Galaxy Clusters

Baojiu Li, Hongsheng Zhao, John Peacock

arxiv:1206.5032 v2 · 2012-06-21 · astro-ph.CO · astro-ph.GA · 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{OH6QYOKG5M7OTNJNS6T3FJMPYH}

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	2026-05-18T01:56:43.435112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71fd0c3946eb3ee9b52d97a7b2a58fc1e2c7a021919e547b26ff488b9fd7a0f9

Aliases

arxiv: 1206.5032 · arxiv_version: 1206.5032v2 · doi: 10.48550/arxiv.1206.5032 · pith_short_12: OH6QYOKG5M7O · pith_short_16: OH6QYOKG5M7OTNJN · pith_short_8: OH6QYOKG

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/OH6QYOKG5M7OTNJNS6T3FJMPYH \
  | 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: 71fd0c3946eb3ee9b52d97a7b2a58fc1e2c7a021919e547b26ff488b9fd7a0f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "728618fcf8a45ec7306a1804819b29f5099d38a42d990f46724a4ccac84809f4",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-06-21T23:46:45Z",
    "title_canon_sha256": "8f673a802473d069495a34e14668a6b50c4352c1af2567056cdde8d9dbc051e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5032",
    "kind": "arxiv",
    "version": 2
  }
}