Pith Number

pith:777ZHPJP

pith:2012:777ZHPJPIMCQMDFSKRCP55G4SJ

not attested not anchored not stored refs pending

Testing the Copernican principle by constraining spatial homogeneity

Chris Clarkson, Valerio Marra, Wessel Valkenburg

arxiv:1209.4078 v3 · 2012-09-18 · 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{777ZHPJPIMCQMDFSKRCP55G4SJ}

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.

Cited by

1 paper in Pith

CMB dipoles and other low-order multipoles in the quasispherical Szekeres model

Receipt and verification

First computed	2026-05-18T02:59:45.038307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffff93bd2f4305060cb25444fef4dc9242bea63826c69481c84cb6b9b50f48fd

Aliases

arxiv: 1209.4078 · arxiv_version: 1209.4078v3 · doi: 10.48550/arxiv.1209.4078 · pith_short_12: 777ZHPJPIMCQ · pith_short_16: 777ZHPJPIMCQMDFS · pith_short_8: 777ZHPJP

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/777ZHPJPIMCQMDFSKRCP55G4SJ \
  | 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: ffff93bd2f4305060cb25444fef4dc9242bea63826c69481c84cb6b9b50f48fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "288ccb4df1603cef23fe283c0b5ab0c65a2b2f4bd1bf2fb41f42117d4139b907",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-09-18T20:00:01Z",
    "title_canon_sha256": "2f84dfdf8095a59752625503e429907d375d977ab64a9f434861df3ed381358e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4078",
    "kind": "arxiv",
    "version": 3
  }
}