Pith Number

pith:EWIPMORI

pith:2024:EWIPMORIY5X4HLR2LKBWLH34KE

not attested not anchored not stored refs pending

String Diagram of Optimal Transports

Kazuki Watanabe, Noboru Isobe

arxiv:2408.08550 v2 · 2024-08-16 · cs.AI · cs.NA · math.NA · 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{EWIPMORIY5X4HLR2LKBWLH34KE}

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

Sinkhorn Algorithm for Sequentially Composed Optimal Transports

Receipt and verification

First computed	2026-07-05T10:05:12.286583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2590f63a28c76fc3ae3a5a83659f7c5111151b1a3742c62103a04e75df8d8ac7

Aliases

arxiv: 2408.08550 · arxiv_version: 2408.08550v2 · doi: 10.48550/arxiv.2408.08550 · pith_short_12: EWIPMORIY5X4 · pith_short_16: EWIPMORIY5X4HLR2 · pith_short_8: EWIPMORI

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/EWIPMORIY5X4HLR2LKBWLH34KE \
  | 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: 2590f63a28c76fc3ae3a5a83659f7c5111151b1a3742c62103a04e75df8d8ac7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34b1d002c8a7c18fcf2fedcd53fbd155fa99d24736c19dc8654e160c6fc42c6b",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2024-08-16T06:33:56Z",
    "title_canon_sha256": "3db50ac8842dd35d555c61ec52bc8c638ce87b6f13044611b0bac625721e5411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.08550",
    "kind": "arxiv",
    "version": 2
  }
}