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Pith Number

pith:VS5DNIVV

pith:2015:VS5DNIVVNN5C2WEKLEDIU2IY23
not attested not anchored not stored refs pending

Raychaudhuri equation and singularity theorems in Finsler spacetimes

E. Minguzzi

arxiv:1502.02313 v2 · 2015-02-08 · gr-qc · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VS5DNIVVNN5C2WEKLEDIU2IY23}

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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

Receipt and verification
First computed 2026-05-18T01:32:10.553165Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

acba36a2b56b7a2d588a59068a6918d6cdc0033a7b2f44b306501e5d8e36f2cf

Aliases

arxiv: 1502.02313 · arxiv_version: 1502.02313v2 · doi: 10.48550/arxiv.1502.02313 · pith_short_12: VS5DNIVVNN5C · pith_short_16: VS5DNIVVNN5C2WEK · pith_short_8: VS5DNIVV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VS5DNIVVNN5C2WEKLEDIU2IY23 \
  | 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: acba36a2b56b7a2d588a59068a6918d6cdc0033a7b2f44b306501e5d8e36f2cf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "311b82ec486314b400e954ba012e4f4747e61ee9bea7fb96180d3ae22beeb0bc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-02-08T22:59:53Z",
    "title_canon_sha256": "00813bff9e498ed14391d756ba8f3b3d60cfc0172e67dacf416ea08765d69b03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02313",
    "kind": "arxiv",
    "version": 2
  }
}