Pith Number

pith:UD3W232U

pith:2026:UD3W232UHCDFGA2KAE3LSMAIJ6

not attested not anchored not stored refs pending

Lorentzian coarea inequality

Hikaru Kubota

The coarea inequality holds for Lorentzian Hausdorff measure once locally uniformly d-controlling maps are present.

arxiv:2605.09101 v2 · 2026-05-09 · math.MG

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\pithnumber{UD3W232UHCDFGA2KAE3LSMAIJ6}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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.

Claims

C1strongest claim

we establish the coarea inequality for Lorentzian Hausdorff measure which is introduced by McCann and Sämann

C2weakest assumption

the existence and properties of locally uniformly d-controlling maps that preserve diameters of causal diamonds, together with the local causal enlargement property needed for the covering lemma

C3one line summary

A coarea inequality holds for Lorentzian Hausdorff measure via diameter-preserving maps on causal pre-length spaces together with a covering lemma under local causal enlargement.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:03:16.156787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0f76d6f54388653034a0136b930084fa6b3b82aa2286a63dc6b9f847b925e6a

Aliases

arxiv: 2605.09101 · arxiv_version: 2605.09101v2 · doi: 10.48550/arxiv.2605.09101 · pith_short_12: UD3W232UHCDF · pith_short_16: UD3W232UHCDFGA2K · pith_short_8: UD3W232U

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/UD3W232UHCDFGA2KAE3LSMAIJ6 \
  | 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: a0f76d6f54388653034a0136b930084fa6b3b82aa2286a63dc6b9f847b925e6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "009e3f404f9e05ac461375f9d6db6585689746f522d3fc168a9de7e60873459e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-05-09T18:16:19Z",
    "title_canon_sha256": "2df3979bd6477fd3b1e6909dc40a7d6d7c6d49fffeb6f90061fd2a090d37431f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.09101",
    "kind": "arxiv",
    "version": 2
  }
}