Pith Number

pith:QUN36AMK

pith:2019:QUN36AMKR6FPBDDGLAVCR4HPVZ

not attested not anchored not stored refs pending

Entropic regularization of continuous optimal transport problems

Benedikt Wirth, Christian Clason, Dirk A. Lorenz, Hinrich Mahler

arxiv:1906.01333 v3 · 2019-06-04 · 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{QUN36AMKR6FPBDDGLAVCR4HPVZ}

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	2026-07-05T01:46:11.275602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

851bbf018a8f8af08c66582a28f0efae484ca57d377147b2863c3ae40c788257

Aliases

arxiv: 1906.01333 · arxiv_version: 1906.01333v3 · doi: 10.48550/arxiv.1906.01333 · pith_short_12: QUN36AMKR6FP · pith_short_16: QUN36AMKR6FPBDDG · pith_short_8: QUN36AMK

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/QUN36AMKR6FPBDDGLAVCR4HPVZ \
  | 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: 851bbf018a8f8af08c66582a28f0efae484ca57d377147b2863c3ae40c788257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7b06eae592ab4bac6cea1e06f54675ab19ec02caa3086c36013fc52157ae4d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-06-04T10:50:13Z",
    "title_canon_sha256": "156a2d2a748fc0bbfde9b46e25f6d000643ef562d156c326cc58a35d68f82402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01333",
    "kind": "arxiv",
    "version": 3
  }
}