Pith Number

pith:22ULRAJV

pith:2024:22ULRAJVDFZBU3KEIQH2XKC7AU

not attested not anchored not stored refs pending

Optimal transport and regularity of weak Kantorovich potentials on a globally hyperbolic spacetime

Alec Metsch

arxiv:2412.01012 v2 · 2024-12-02 · math.OC · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22ULRAJVDFZBU3KEIQH2XKC7AU}

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

1 paper in Pith

A Lorentzian Lasry-Lions regularization theorem

Receipt and verification

First computed	2026-07-05T11:18:16.389676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6a8b8813519721a6d44440faba85f053eae2f238abf76e8fa219e557230e374

Aliases

arxiv: 2412.01012 · arxiv_version: 2412.01012v2 · doi: 10.48550/arxiv.2412.01012 · pith_short_12: 22ULRAJVDFZB · pith_short_16: 22ULRAJVDFZBU3KE · pith_short_8: 22ULRAJV

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/22ULRAJVDFZBU3KEIQH2XKC7AU \
  | 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: d6a8b8813519721a6d44440faba85f053eae2f238abf76e8fa219e557230e374

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a0aa4f4e52d33ab910b03be9361b01989cd6628b74f3f1b072ca13a85c1ba71",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-02T00:07:28Z",
    "title_canon_sha256": "a06ea9388dbb0eabb5bc349c823324c6369da877ba91e73ff5330e70c4204ffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01012",
    "kind": "arxiv",
    "version": 2
  }
}