Pith Number

pith:7OEDJUWS

pith:2012:7OEDJUWSICLMXROBXIUNEKN4CW

not attested not anchored not stored refs pending

Using quasars as standard clocks for measuring cosmological redshift

Amanda Weltman, Branislav Stojkovic, De-Chang Dai, Dejan Stojkovic, Glenn D. Starkman

arxiv:1204.5191 v2 · 2012-04-23 · astro-ph.CO · gr-qc · hep-ph · 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{7OEDJUWSICLMXROBXIUNEKN4CW}

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	2026-05-18T01:57:47.070912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb8834d2d24096cbc5c1ba28d229bc15812b2e07e1e054a82388789097ee1202

Aliases

arxiv: 1204.5191 · arxiv_version: 1204.5191v2 · doi: 10.48550/arxiv.1204.5191 · pith_short_12: 7OEDJUWSICLM · pith_short_16: 7OEDJUWSICLMXROB · pith_short_8: 7OEDJUWS

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/7OEDJUWSICLMXROBXIUNEKN4CW \
  | 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: fb8834d2d24096cbc5c1ba28d229bc15812b2e07e1e054a82388789097ee1202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e17628e9f76153b514c425856eaffb986d099a0d07a5769eb98518fad7ba4605",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-04-23T20:00:49Z",
    "title_canon_sha256": "0b48a34587eb8be3c4fca365192035aa8e2d1eb7330d7d4e9d2b403c247053f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5191",
    "kind": "arxiv",
    "version": 2
  }
}