Pith Number

pith:ABRBEAX4

pith:2012:ABRBEAX4YORZ2VT3IOOAEUV56H

not attested not anchored not stored refs pending

The second-order luminosity-redshift relation in a generic inhomogeneous cosmology

Fabien Nugier, Gabriele Veneziano, Giovanni Marozzi, Ido Ben-Dayan

arxiv:1209.4326 v2 · 2012-09-19 · astro-ph.CO · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABRBEAX4YORZ2VT3IOOAEUV56H}

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

Nonlinear Relativistic Effects on Cosmological Redshift Drift

Receipt and verification

First computed	2026-05-18T01:54:20.968055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00621202fcc3a39d567b439c0252bdf1e64745556ab5e763bf862760ce554285

Aliases

arxiv: 1209.4326 · arxiv_version: 1209.4326v2 · doi: 10.48550/arxiv.1209.4326 · pith_short_12: ABRBEAX4YORZ · pith_short_16: ABRBEAX4YORZ2VT3 · pith_short_8: ABRBEAX4

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/ABRBEAX4YORZ2VT3IOOAEUV56H \
  | 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: 00621202fcc3a39d567b439c0252bdf1e64745556ab5e763bf862760ce554285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bad253b642198f161fc59112488661172ab23cad72f3cc30de9a47b26a4e0e2",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-09-19T18:38:51Z",
    "title_canon_sha256": "d97d4cdbca94a52ba54f91cc62ec5ef748cf56c9883415192c6131e997f00b51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4326",
    "kind": "arxiv",
    "version": 2
  }
}