Pith Number

pith:GA7DVMIP

pith:2011:GA7DVMIPT4QL4TAFSYDYOZKYC7

not attested not anchored not stored refs pending

Generalized Swiss-Cheese Cosmologies II: Spherical Dust

C\'edric Grenon, Kayll Lake

arxiv:1108.6320 v3 · 2011-08-31 · gr-qc · astro-ph.CO · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GA7DVMIPT4QL4TAFSYDYOZKYC7}

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	2026-05-18T03:23:21.503368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

303e3ab10f9f20be4c05960787655817eb023752444e81373400e5e6c9f8dc74

Aliases

arxiv: 1108.6320 · arxiv_version: 1108.6320v3 · doi: 10.48550/arxiv.1108.6320 · pith_short_12: GA7DVMIPT4QL · pith_short_16: GA7DVMIPT4QL4TAF · pith_short_8: GA7DVMIP

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/GA7DVMIPT4QL4TAFSYDYOZKYC7 \
  | 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: 303e3ab10f9f20be4c05960787655817eb023752444e81373400e5e6c9f8dc74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8275ae24f5c04108a320309705de82111f75b2314dd40a086c45fda58eb5b14",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-08-31T18:52:34Z",
    "title_canon_sha256": "1f22517c16dc96edcfcac107fe8ba06681b83a0d0a9ac80d569a7218611082b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6320",
    "kind": "arxiv",
    "version": 3
  }
}