Pith Number

pith:V2DD4EP2

pith:2025:V2DD4EP2TT5IJZ2AYJCYYDB7IS

not attested not anchored not stored refs pending

A Lorentzian splitting theorem for continuously differentiable metrics and weights

Argam Ohanyan, Clemens S\"amann, Mathias Braun, Nicola Gigli, Robert J. McCann

arxiv:2507.06836 v1 · 2025-07-09 · math.DG · gr-qc · math-ph · math.AP · math.MG · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2DD4EP2TT5IJZ2AYJCYYDB7IS}

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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

4 papers in Pith

Failure of local equi-Lipschitzness for families of Lorentz distances to Cauchy surface foliations

Lorentzian coarea inequality

Stability of Synthetic Timelike Ricci Bounds under $C^0$-Limits and Applications to Impulsive Gravitational Waves

Lorentzian coarea inequality

Receipt and verification

First computed	2026-07-05T11:34:23.901478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae863e11fa9cfa84e740c2458c0c3f4491a392b886fe169fc1901416767d7f2b

Aliases

arxiv: 2507.06836 · arxiv_version: 2507.06836v1 · doi: 10.48550/arxiv.2507.06836 · pith_short_12: V2DD4EP2TT5I · pith_short_16: V2DD4EP2TT5IJZ2A · pith_short_8: V2DD4EP2

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/V2DD4EP2TT5IJZ2AYJCYYDB7IS \
  | 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: ae863e11fa9cfa84e740c2458c0c3f4491a392b886fe169fc1901416767d7f2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ad8149d5755ca5684759b963aa32fdf22b09022fbb9c2b21c8fd44f104ff85f",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.AP",
      "math.MG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-07-09T13:33:42Z",
    "title_canon_sha256": "a3273be9ac78aad27c56e9b88a464543b8db91563200a83be9cb8fa98b763f97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06836",
    "kind": "arxiv",
    "version": 1
  }
}