Pith Number

pith:PSDVPTET

pith:2015:PSDVPTET6XZ2FV2QUNJJZPU5GH

not attested not anchored not stored refs pending

Unbalanced Optimal Transport: Dynamic and Kantorovich Formulation

Bernhard Schmitzer, Fran\c{c}ois-Xavier Vialard, Gabriel Peyr\'e, Lenaic Chizat

arxiv:1508.05216 v3 · 2015-08-21 · 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{PSDVPTET6XZ2FV2QUNJJZPU5GH}

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

Unlearning with Asymmetric Sources: Improved Unlearning-Utility Trade-off with Public Data

Receipt and verification

First computed	2026-05-17T23:54:27.224264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c8757cc93f5f3a2d750a3529cbe9d31daaa1954a62f0e8b375ed5e96b7ddaf2

Aliases

arxiv: 1508.05216 · arxiv_version: 1508.05216v3 · doi: 10.48550/arxiv.1508.05216 · pith_short_12: PSDVPTET6XZ2 · pith_short_16: PSDVPTET6XZ2FV2Q · pith_short_8: PSDVPTET

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/PSDVPTET6XZ2FV2QUNJJZPU5GH \
  | 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: 7c8757cc93f5f3a2d750a3529cbe9d31daaa1954a62f0e8b375ed5e96b7ddaf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a467c99a820466cdd05aad59fe39eed923ff2927f29bfc06463fab69838124c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-08-21T09:00:08Z",
    "title_canon_sha256": "c208db8c9955b491ab3ce69ac7189a0962c6a0e47cbcddf01022851286a05f52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05216",
    "kind": "arxiv",
    "version": 3
  }
}