Pith Number

pith:5PKTXCDW

pith:2004:5PKTXCDW6GC2III2TWGPK3TLYA

not attested not anchored not stored refs pending

The role of anisotropy and inhomogeneity in Lemaitre-Tolman-Bondi collapse

Brien C. Nolan (DCU, Dublin), Filipe C. Mena (Oxford/Minho), London), Reza Tavakol (QM

arxiv:gr-qc/0405041 v1 · 2004-05-07 · 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{5PKTXCDW6GC2III2TWGPK3TLYA}

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

1 paper in Pith

Photon surfaces extension in general spherical dust collapse

Receipt and verification

First computed	2026-07-04T16:47:44.175666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd53b8876f185a4211a9d8cf56e6bc0061eec03f590732033962a0b6647c074

Aliases

arxiv: gr-qc/0405041 · arxiv_version: gr-qc/0405041v1 · doi: 10.48550/arxiv.gr-qc/0405041 · pith_short_12: 5PKTXCDW6GC2 · pith_short_16: 5PKTXCDW6GC2III2 · pith_short_8: 5PKTXCDW

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/5PKTXCDW6GC2III2TWGPK3TLYA \
  | 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: ebd53b8876f185a4211a9d8cf56e6bc0061eec03f590732033962a0b6647c074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d8af2a229d7e3412410b0539fa8e1f92acd375f0a2c726332b9f9228839875d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-05-07T14:42:28Z",
    "title_canon_sha256": "68f5c5b0c1a849399854a0d0560c20e84a94f76b7ea152d157c2ecae3f9a6027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0405041",
    "kind": "arxiv",
    "version": 1
  }
}