Pith Number

pith:WTOAQ74I

pith:2011:WTOAQ74I2PTHCBSNQQZDFFZENB

not attested not anchored not stored refs pending

Does the growth of structure affect our dynamical models of the universe? The averaging, backreaction and fitting problems in cosmology

Chris Clarkson, George Ellis, Julien Larena, Obinna Umeh

arxiv:1109.2314 v1 · 2011-09-11 · 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{WTOAQ74I2PTHCBSNQQZDFFZENB}

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

3 papers in Pith

Cosmological Averaging in Nonminimally Coupled Gravity

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

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

Receipt and verification

First computed	2026-05-17T23:52:09.594179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4dc087f88d3e671064d843232972468646fc9dfebe259b6f203bd2e7b034ba3

Aliases

arxiv: 1109.2314 · arxiv_version: 1109.2314v1 · doi: 10.48550/arxiv.1109.2314 · pith_short_12: WTOAQ74I2PTH · pith_short_16: WTOAQ74I2PTHCBSN · pith_short_8: WTOAQ74I

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/WTOAQ74I2PTHCBSNQQZDFFZENB \
  | 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: b4dc087f88d3e671064d843232972468646fc9dfebe259b6f203bd2e7b034ba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "950b03ee606d145d7c604a1d1b327b009aca55d1416429eb5b0b9f2e25d37310",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-09-11T14:01:17Z",
    "title_canon_sha256": "bf5211acbc3163ef86c3e3a5609a4c9b36c1cdadcf1121ec9ca78c712455b46e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2314",
    "kind": "arxiv",
    "version": 1
  }
}