Pith Number

pith:TS4VDRVL

pith:2025:TS4VDRVLDGP7FHFX7Q6JOASCXA

not attested not anchored not stored refs pending

Equivalence between the timelike Brunn-Minkowski inequality and timelike Bakry-\'Emery-Ricci lower bound on weighted globally hyperbolic spacetimes

Osama Farooqui

arxiv:2504.06186 v1 · 2025-04-08 · math.MG · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TS4VDRVLDGP7FHFX7Q6JOASCXA}

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.

Cited by

2 papers in Pith

Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds

The equivalence between timelike Ricci curvature and the timelike Brunn Minkowski inequality on synthetic Lorentzian spaces

Receipt and verification

First computed	2026-07-05T10:46:16.763104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cb951c6ab199ff29cb7fc3c970242b814e237b91275abf82dc30075a3fc11a1

Aliases

arxiv: 2504.06186 · arxiv_version: 2504.06186v1 · doi: 10.48550/arxiv.2504.06186 · pith_short_12: TS4VDRVLDGP7 · pith_short_16: TS4VDRVLDGP7FHFX · pith_short_8: TS4VDRVL

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/TS4VDRVLDGP7FHFX7Q6JOASCXA \
  | 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: 9cb951c6ab199ff29cb7fc3c970242b814e237b91275abf82dc30075a3fc11a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05e3ca3378a5fe6798bf722e0e9c8d71238dc1eba2dd1c0bdbb4fe075b862940",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-04-08T16:28:07Z",
    "title_canon_sha256": "ad3fcf01e3627791d8c3c80932d67b48185a01d0e76339646c3475c4e00cfdb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.06186",
    "kind": "arxiv",
    "version": 1
  }
}