Pith Number

pith:XTTDC4XI

pith:2024:XTTDC4XIFEHY2D2Y63UHYCJI5S

not attested not anchored not stored refs pending

Collision-based Dynamics for Multi-Marginal Optimal Transport

Hossein Gorji, Mohsen Sadr

arxiv:2412.16385 v2 · 2024-12-20 · cs.AI · cs.LG · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTTDC4XIFEHY2D2Y63UHYCJI5S}

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.

Receipt and verification

First computed	2026-07-05T11:47:59.287011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bce63172e8290f8d0f58f6e87c0928ec910cc0eebb09ed378b7988852450ad0b

Aliases

arxiv: 2412.16385 · arxiv_version: 2412.16385v2 · doi: 10.48550/arxiv.2412.16385 · pith_short_12: XTTDC4XIFEHY · pith_short_16: XTTDC4XIFEHY2D2Y · pith_short_8: XTTDC4XI

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/XTTDC4XIFEHY2D2Y63UHYCJI5S \
  | 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: bce63172e8290f8d0f58f6e87c0928ec910cc0eebb09ed378b7988852450ad0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b88d1878a4bb6570b46d01be454c24295ca052c761d9a1212adceb484497ee",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2024-12-20T22:41:16Z",
    "title_canon_sha256": "acc9da8885d3d4ccb3a9b4037817245a8e7a4cc6c45155b19aed288a6e8d4576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16385",
    "kind": "arxiv",
    "version": 2
  }
}