Pith Number

pith:GMDBD7HY

pith:2025:GMDBD7HYGMC3IEYCXHZVVHCP2X

not attested not anchored not stored refs pending

A Linear Complexity Algorithm for Optimal Transport Problem with Log-type Cost

Hao Wu, Shuai Yang, Zihao Wang, Ziyuan Lyu

arxiv:2501.06578 v2 · 2025-01-11 · 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{GMDBD7HYGMC3IEYCXHZVVHCP2X}

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	2026-07-05T10:37:42.519840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

330611fcf83305b41302b9f35a9c4fd5d8503975c82a0c9bb27d767e011bc6e7

Aliases

arxiv: 2501.06578 · arxiv_version: 2501.06578v2 · doi: 10.48550/arxiv.2501.06578 · pith_short_12: GMDBD7HYGMC3 · pith_short_16: GMDBD7HYGMC3IEYC · pith_short_8: GMDBD7HY

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/GMDBD7HYGMC3IEYCXHZVVHCP2X \
  | 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: 330611fcf83305b41302b9f35a9c4fd5d8503975c82a0c9bb27d767e011bc6e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "426d529deeeab49dc69fcea9a1f5c2a5dfe0578e4bc72637cf3a8a81f55022aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-01-11T16:22:41Z",
    "title_canon_sha256": "61188d53890750557441128367be62a6ffbf71acca44d6eb089346c434dca8f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06578",
    "kind": "arxiv",
    "version": 2
  }
}