Pith Number

pith:VPHA3LOS

pith:2015:VPHA3LOS5344TAAQSYBEI3CZUC

not attested not anchored not stored refs pending

An Interpolating Distance between Optimal Transport and Fisher-Rao

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

arxiv:1506.06430 v2 · 2015-06-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPHA3LOS5344TAAQSYBEI3CZUC}

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

2 papers in Pith

On the Stability of Spherical Hellinger-Kantorovich Flows and Their Implications for Differential Privacy

Weighted quantization using MMD: From mean field to mean shift via gradient flows

Receipt and verification

First computed	2026-05-18T01:37:03.519485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abce0dadd2eef9c980109602446c59a0b945e567f6a9c6002bac1058f715f132

Aliases

arxiv: 1506.06430 · arxiv_version: 1506.06430v2 · doi: 10.48550/arxiv.1506.06430 · pith_short_12: VPHA3LOS5344 · pith_short_16: VPHA3LOS5344TAAQ · pith_short_8: VPHA3LOS

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/VPHA3LOS5344TAAQSYBEI3CZUC \
  | 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: abce0dadd2eef9c980109602446c59a0b945e567f6a9c6002bac1058f715f132

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c414116ab36ccc07480e84fe44057eb732bddb3582ad06d999812e60fc2edbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-22T00:21:58Z",
    "title_canon_sha256": "14b01cc39b6a7ab95072a7d985cfaee57fa9d883add4db0f337c94c8e99b372b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06430",
    "kind": "arxiv",
    "version": 2
  }
}