Pith Number

pith:LSOKNWB5

pith:2010:LSOKNWB56DWL4CSWJDU4GY7XIR

not attested not anchored not stored refs pending

The Hubble rate in averaged cosmology

Chris Clarkson (ACGC, Julien Larena, Obinna Umeh, University of Cape Town)

arxiv:1011.3959 v4 · 2010-11-17 · 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{LSOKNWB56DWL4CSWJDU4GY7XIR}

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

An essential building block for cosmological zoom-in perturbation theory

Gravitational edge mode powers galaxy flat rotation curves

Cosmological zoom-in perturbation theory as a consistent beyond point-particle approximation framework

Gravitational edge mode powers galaxy flat rotation curves

Receipt and verification

First computed	2026-05-18T02:04:44.546040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c9ca6d83df0ecbe0a5648e9c363f7445119205bf5536fe0f093145d10dfaae6

Aliases

arxiv: 1011.3959 · arxiv_version: 1011.3959v4 · doi: 10.48550/arxiv.1011.3959 · pith_short_12: LSOKNWB56DWL · pith_short_16: LSOKNWB56DWL4CSW · pith_short_8: LSOKNWB5

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/LSOKNWB56DWL4CSWJDU4GY7XIR \
  | 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: 5c9ca6d83df0ecbe0a5648e9c363f7445119205bf5536fe0f093145d10dfaae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f34f928cc90fa5698456e1b6ae733663728708d08c3c75b38f2fda7872c9586c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-11-17T13:37:58Z",
    "title_canon_sha256": "a588b874068bd77eadd517dda88dacf28264f0b6499d5446469044edd6242c21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3959",
    "kind": "arxiv",
    "version": 4
  }
}