Pith Number

pith:3GA6UQ37

pith:2012:3GA6UQ37KADAT2WLEGCTXMXI4G

not attested not anchored not stored refs pending

Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification. I - Key results

Chris Clarkson, Obinna Umeh, Roy Maartens

arxiv:1207.2109 v3 · 2012-07-09 · astro-ph.CO · gr-qc

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GA6UQ37KADAT2WLEGCTXMXI4G}

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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	2026-05-18T01:41:58.829577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d981ea437f500609eacb21853bb2e8e18e9b1f7b197c7a8781a6ba493853ad23

Aliases

arxiv: 1207.2109 · arxiv_version: 1207.2109v3 · doi: 10.48550/arxiv.1207.2109 · pith_short_12: 3GA6UQ37KADA · pith_short_16: 3GA6UQ37KADAT2WL · pith_short_8: 3GA6UQ37

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/3GA6UQ37KADAT2WLEGCTXMXI4G \
  | 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: d981ea437f500609eacb21853bb2e8e18e9b1f7b197c7a8781a6ba493853ad23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5550bdfbab2f9b080aa62c7075de981f73b702b57307ad262be99be8ec488497",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-07-09T17:44:05Z",
    "title_canon_sha256": "7099aed5c01b3cfccb9ddeba8af1221d09045e9cdf6fc13ad17d55f8f20f7572"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2109",
    "kind": "arxiv",
    "version": 3
  }
}