Pith Number

pith:S4RVG6QO

pith:2009:S4RVG6QOCTBRQFADHMPHEGG7LO

not attested not anchored not stored refs pending

Perturbation Theory in Lemaitre-Tolman-Bondi Cosmology

Chris Clarkson, Sean February, Timothy Clifton

arxiv:0903.5040 v2 · 2009-03-29 · 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{S4RVG6QOCTBRQFADHMPHEGG7LO}

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.

Receipt and verification

First computed	2026-05-18T02:14:18.766193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9723537a0e14c31814033b1e7218df5ba8556206a58cb5a269e7d47e4173133e

Aliases

arxiv: 0903.5040 · arxiv_version: 0903.5040v2 · doi: 10.48550/arxiv.0903.5040 · pith_short_12: S4RVG6QOCTBR · pith_short_16: S4RVG6QOCTBRQFAD · pith_short_8: S4RVG6QO

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/S4RVG6QOCTBRQFADHMPHEGG7LO \
  | 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: 9723537a0e14c31814033b1e7218df5ba8556206a58cb5a269e7d47e4173133e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4ec9577e697f6a236af4a8bfddd3f6b47ebe91a7c89ca9a548c0bbdfe1b6277",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-03-29T17:19:14Z",
    "title_canon_sha256": "460f965ed3e65ecb2cbefe470b0486c7961a5438f962c8be9e23c3ecf71fc11c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5040",
    "kind": "arxiv",
    "version": 2
  }
}