Pith Number

pith:FKCVUGDH

pith:2009:FKCVUGDHPQUKPHJQJUZIXPFJCG

not attested not anchored not stored refs pending

Light propagation in statistically homogeneous and isotropic universes with general matter content

Syksy Rasanen

arxiv:0912.3370 v2 · 2009-12-17 · 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{FKCVUGDHPQUKPHJQJUZIXPFJCG}

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

First observational constraints on cosmic backreaction over an extended redshift range

Receipt and verification

First computed	2026-05-18T03:38:14.602606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a855a18677c28a79d304d328bbca91180cc8b5313f98711982f37ae24f99e67

Aliases

arxiv: 0912.3370 · arxiv_version: 0912.3370v2 · doi: 10.48550/arxiv.0912.3370 · pith_short_12: FKCVUGDHPQUK · pith_short_16: FKCVUGDHPQUKPHJQ · pith_short_8: FKCVUGDH

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/FKCVUGDHPQUKPHJQJUZIXPFJCG \
  | 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: 2a855a18677c28a79d304d328bbca91180cc8b5313f98711982f37ae24f99e67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdf6c2474d0cfc79ce08316a12cee14b5e14f494755342944d85c17af7821158",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-12-17T12:45:18Z",
    "title_canon_sha256": "fa37a11ae704df0b85e2ccbc874bac9f1c0180d0ecb6f786a63b0b7261ddb02b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3370",
    "kind": "arxiv",
    "version": 2
  }
}