Pith Number

pith:4QU74RZ3

pith:2001:4QU74RZ3V5Y5QG6RZPZX4P3IIO

not attested not anchored not stored refs pending

On average properties of inhomogeneous fluids in general relativity II: perfect fluid cosmologies

Thomas Buchert (Univ. of Geneva)

arxiv:gr-qc/0102049 v2 · 2001-02-12 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QU74RZ3V5Y5QG6RZPZX4P3IIO}

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

4 papers in Pith

Mapping the Universe as a Bianchi I cosmology with Gaia data

Impact of inhomogeneous curvature on growth rate measurements from magnitude fluctuations

In the Realm of the Hubble tension $-$ a Review of Solutions

Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta{N}$ formalism

Receipt and verification

First computed	2026-07-04T15:26:31.755729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e429fe473baf71d81bd1cbf37e3f684386e142debebabcd9761ab7e492ae7a12

Aliases

arxiv: gr-qc/0102049 · arxiv_version: gr-qc/0102049v2 · doi: 10.48550/arxiv.gr-qc/0102049 · pith_short_12: 4QU74RZ3V5Y5 · pith_short_16: 4QU74RZ3V5Y5QG6R · pith_short_8: 4QU74RZ3

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/4QU74RZ3V5Y5QG6RZPZX4P3IIO \
  | 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: e429fe473baf71d81bd1cbf37e3f684386e142debebabcd9761ab7e492ae7a12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cc1242cefd8d7b6f7dc917056332975ecbad6057b33510bea9251cf04151d64",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-02-12T17:25:16Z",
    "title_canon_sha256": "2184edd93de6ad8a9d86494ddd73aa407c436e955525496c4c7b26e02ab088ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0102049",
    "kind": "arxiv",
    "version": 2
  }
}