Pith Number

pith:6WE4QZEM

pith:2025:6WE4QZEMLYXVO5HC64XYL7TRJV

not attested not anchored not stored refs pending

$C_{loc}^{1,1}$ optimal pairs in the dual optimal transport problem for a Lorentzian cost along displacement interpolations

Alec Metsch

arxiv:2504.11556 v1 · 2025-04-15 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6WE4QZEMLYXVO5HC64XYL7TRJV}

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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

On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime

Receipt and verification

First computed	2026-07-05T10:49:36.855522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f589c8648c5e2f5774e2f72f85fe714d46c6e894cf0b254f64a95cf80a79e944

Aliases

arxiv: 2504.11556 · arxiv_version: 2504.11556v1 · doi: 10.48550/arxiv.2504.11556 · pith_short_12: 6WE4QZEMLYXV · pith_short_16: 6WE4QZEMLYXVO5HC · pith_short_8: 6WE4QZEM

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/6WE4QZEMLYXVO5HC64XYL7TRJV \
  | 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: f589c8648c5e2f5774e2f72f85fe714d46c6e894cf0b254f64a95cf80a79e944

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7cad89f799832164b6d1cd4b90c1c036a8c9bad2c2e1d09279696c95ccb6091",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-04-15T18:55:40Z",
    "title_canon_sha256": "5d07b1cf915e7e10335602be6fb128276aa4d37c7c507fc40c2cf1f66c2c4142"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.11556",
    "kind": "arxiv",
    "version": 1
  }
}