Pith Number

pith:MKP4SEJZ

pith:2023:MKP4SEJZ2Q735F5Q6O2J5KPJDG

not attested not anchored not stored refs pending

Formulating Discrete Probability Flow Through Optimal Transport

Chen Li, Hubery Yin, Pengze Zhang, Xiaohua Xie

arxiv:2311.03886 v1 · 2023-11-07 · cs.LG · cs.AI · 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{MKP4SEJZ2Q735F5Q6O2J5KPJDG}

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	2026-07-05T07:10:07.331876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

629fc91139d43fbe97b0f3b49ea9e919994e1033a082a55682f08361d7f0deb2

Aliases

arxiv: 2311.03886 · arxiv_version: 2311.03886v1 · doi: 10.48550/arxiv.2311.03886 · pith_short_12: MKP4SEJZ2Q73 · pith_short_16: MKP4SEJZ2Q735F5Q · pith_short_8: MKP4SEJZ

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/MKP4SEJZ2Q735F5Q6O2J5KPJDG \
  | 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: 629fc91139d43fbe97b0f3b49ea9e919994e1033a082a55682f08361d7f0deb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "076502fc6999d0c855d9f9b62f5dea595138aaab9369321f0b0c6c28be8f21b6",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-11-07T11:03:27Z",
    "title_canon_sha256": "656611f8b57263ae57cf1afa736dca1a469c8c2a9348f8a03d5734ae4bbdacbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.03886",
    "kind": "arxiv",
    "version": 1
  }
}