Pith Number

pith:2AWAZ7BJ

pith:2024:2AWAZ7BJH2VL6OHHCL4DL3CAP7

not attested not anchored not stored refs pending

Generalizing Super/Sub MOT using weak $L^1$ transport

Dominykas Norgilas, Erhan Bayraktar

arxiv:2407.13002 v1 · 2024-07-17 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2AWAZ7BJH2VL6OHHCL4DL3CAP7}

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

The Fundamental Theorem of Weak Optimal Transport

Receipt and verification

First computed	2026-07-05T08:45:31.723791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d02c0cfc293eaabf38e712f835ec407ff0346e311f7ab563240edc0841f68e8a

Aliases

arxiv: 2407.13002 · arxiv_version: 2407.13002v1 · doi: 10.48550/arxiv.2407.13002 · pith_short_12: 2AWAZ7BJH2VL · pith_short_16: 2AWAZ7BJH2VL6OHH · pith_short_8: 2AWAZ7BJ

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/2AWAZ7BJH2VL6OHHCL4DL3CAP7 \
  | 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: d02c0cfc293eaabf38e712f835ec407ff0346e311f7ab563240edc0841f68e8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca474a05f03343df370a55ae5e007671c00faa389418dca5db29de3b44a5df11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-07-17T20:45:19Z",
    "title_canon_sha256": "8660206398302053f8104e15016f9a76075f65f30e2f0753246333564b62a3ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.13002",
    "kind": "arxiv",
    "version": 1
  }
}