Pith Number

pith:YLCLU5X7

pith:2011:YLCLU5X7D5G4B4QMDJB6TDX2DW

not attested not anchored not stored refs pending

The role of shell crossing on the existence and stability of trapped matter shells in spherical inhomogeneous \Lambda-CDM models

CAAUL), Filipe C. Mena (CMAT), IFT), Jos\'e Pedro Mimoso (DFUL, Morgan Le Delliou (CFTC

arxiv:1103.0976 v2 · 2011-03-04 · 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{YLCLU5X7D5G4B4QMDJB6TDX2DW}

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	2026-05-18T04:20:37.869567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2c4ba76ff1f4dc0f20c1a43e98efa1da79626ac2bb679dc3bfb88756fde7ecf

Aliases

arxiv: 1103.0976 · arxiv_version: 1103.0976v2 · doi: 10.48550/arxiv.1103.0976 · pith_short_12: YLCLU5X7D5G4 · pith_short_16: YLCLU5X7D5G4B4QM · pith_short_8: YLCLU5X7

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/YLCLU5X7D5G4B4QMDJB6TDX2DW \
  | 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: c2c4ba76ff1f4dc0f20c1a43e98efa1da79626ac2bb679dc3bfb88756fde7ecf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a9e26d4656f74e9b84afd0822943a3145836f6e116be6cf413b2e80f864d5e2",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-03-04T20:28:01Z",
    "title_canon_sha256": "021ab9dd6c54551c02c588e53982bdacdb80b07ca0e4ad6b56464256b90868b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0976",
    "kind": "arxiv",
    "version": 2
  }
}