Pith Number

pith:7SMOCJB5

pith:2025:7SMOCJB5FFSWOFAG6N24DK5DSV

not attested not anchored not stored refs pending

The Fundamental Theorem of Weak Optimal Transport

Gudmund Pammer, Lorenz Riess, Mathias Beiglb\"ock, Stefan Schrott

arxiv:2501.16316 v1 · 2025-01-27 · math.PR · 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{7SMOCJB5FFSWOFAG6N24DK5DSV}

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

Projected McKean--Vlasov Dynamics for Entropic Weak Optimal Transport

Bridging classical and martingale Schr\"odinger bridges

Receipt and verification

First computed	2026-07-05T10:05:58.420750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc98e1243d2965671406f375c1aba3954f043bc375711d6fe515f46dc6c9e850

Aliases

arxiv: 2501.16316 · arxiv_version: 2501.16316v1 · doi: 10.48550/arxiv.2501.16316 · pith_short_12: 7SMOCJB5FFSW · pith_short_16: 7SMOCJB5FFSWOFAG · pith_short_8: 7SMOCJB5

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/7SMOCJB5FFSWOFAG6N24DK5DSV \
  | 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: fc98e1243d2965671406f375c1aba3954f043bc375711d6fe515f46dc6c9e850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ffe9982ad44c98bd398f70d811665917aade7577d0b7a0d0dc4331571acc4d1",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-27T18:52:03Z",
    "title_canon_sha256": "1f002e1cf0c41da4fc66578738b953efcb8132c55092033cb89939f6c1bb9331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16316",
    "kind": "arxiv",
    "version": 1
  }
}