Pith Number

pith:BQ5ZW5IX

pith:1999:BQ5ZW5IXB7FZC3RYUOYUDAYZID

not attested not anchored not stored refs pending

On average properties of inhomogeneous fluids in general relativity I: dust cosmologies

Thomas Buchert

arxiv:gr-qc/9906015 v2 · 1999-06-04 · 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{BQ5ZW5IXB7FZC3RYUOYUDAYZID}

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

5 papers in Pith

The Case for Astrons

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

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

Astrons: Reissner-Nordstr\"om Primordial Naked Singularities

First observational constraints on cosmic backreaction over an extended redshift range

Receipt and verification

First computed	2026-05-18T01:39:17.965253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c3b9b75170fcb916e38a3b141831940dbf1aee94ede0d1f1603d4a948b015cc

Aliases

arxiv: gr-qc/9906015 · arxiv_version: gr-qc/9906015v2 · doi: 10.48550/arxiv.gr-qc/9906015 · pith_short_12: BQ5ZW5IXB7FZ · pith_short_16: BQ5ZW5IXB7FZC3RY · pith_short_8: BQ5ZW5IX

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/BQ5ZW5IXB7FZC3RYUOYUDAYZID \
  | 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: 0c3b9b75170fcb916e38a3b141831940dbf1aee94ede0d1f1603d4a948b015cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a12daf7558856aad059df9e685e283496d0c1f13144dcaf542e9137d99f16c8",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-06-04T12:50:15Z",
    "title_canon_sha256": "1d2a9cdcc9b408939bf90771138f343cc2da587e91408a9921803ddfb666c0c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9906015",
    "kind": "arxiv",
    "version": 2
  }
}