Pith Number

pith:JSO5HCTO

pith:2019:JSO5HCTOCV6O6OHH7AMXIZCTL6

not attested not anchored not stored refs pending

On the difference between entropic cost and the optimal transport cost

Soumik Pal

arxiv:1905.12206 v2 · 2019-05-29 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSO5HCTOCV6O6OHH7AMXIZCTL6}

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

Wasserstein Mirror Gradient Flow as the limit of the Sinkhorn Algorithm

Receipt and verification

First computed	2026-07-05T00:11:20.780475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c9dd38a6e157cef38e7f8197464535fb3736804aae3bf13d821b1fcf8ad0090

Aliases

arxiv: 1905.12206 · arxiv_version: 1905.12206v2 · doi: 10.48550/arxiv.1905.12206 · pith_short_12: JSO5HCTOCV6O · pith_short_16: JSO5HCTOCV6O6OHH · pith_short_8: JSO5HCTO

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/JSO5HCTOCV6O6OHH7AMXIZCTL6 \
  | 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: 4c9dd38a6e157cef38e7f8197464535fb3736804aae3bf13d821b1fcf8ad0090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0633af4cead9b1d64b8c623a56238507ca71343ec898a913280c35e556d37cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-29T04:15:03Z",
    "title_canon_sha256": "b48945d313451c00a4d0f013bd88cb1e3743811d0dba5b19fdcccfd4a7ea845c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12206",
    "kind": "arxiv",
    "version": 2
  }
}