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Pith Number

pith:CZISZ7CM

pith:2009:CZISZ7CM3EFU6IDNL2OQOEZBJ5
not attested not anchored not stored refs pending

On matching LTB and Vaidya spacetimes through a null hypersurface

S. Khakshournia

arxiv:0907.0824 v1 · 2009-07-05 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CZISZ7CM3EFU6IDNL2OQOEZBJ5}

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 2026-05-18T02:34:39.088678Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

16512cfc4cd90b4f206d5e9d0713214f62d9e166c1d0d7ddbc6cf154d19793a3

Aliases

arxiv: 0907.0824 · arxiv_version: 0907.0824v1 · doi: 10.48550/arxiv.0907.0824 · pith_short_12: CZISZ7CM3EFU · pith_short_16: CZISZ7CM3EFU6IDN · pith_short_8: CZISZ7CM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CZISZ7CM3EFU6IDNL2OQOEZBJ5 \
  | 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: 16512cfc4cd90b4f206d5e9d0713214f62d9e166c1d0d7ddbc6cf154d19793a3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e3ee0f15e8a080ad0399939d4983a0e9990b10107794edb158f1e71cf2bff0f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-07-05T05:20:29Z",
    "title_canon_sha256": "9f3957692a2ce0aace44d193838cae75c2141990f353bcfc2a7c83f7bb314872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0824",
    "kind": "arxiv",
    "version": 1
  }
}