Pith Number

pith:4MTRF5AJ

pith:2022:4MTRF5AJIN2GSJ54EFXZ5A2TOI

not attested not anchored not stored refs pending

Evolutionary Variational Inequalities on the Hellinger-Kantorovich and Spherical Hellinger-Kantorovich spaces

Alexander Mielke, Vaios Laschos

arxiv:2207.09815 v3 · 2022-07-20 · 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{4MTRF5AJIN2GSJ54EFXZ5A2TOI}

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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

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow

Receipt and verification

First computed	2026-07-05T07:27:22.885669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e32712f40943746927bc216f9e8353723c5778d5c2d711bb00b337fabcb73c90

Aliases

arxiv: 2207.09815 · arxiv_version: 2207.09815v3 · doi: 10.48550/arxiv.2207.09815 · pith_short_12: 4MTRF5AJIN2G · pith_short_16: 4MTRF5AJIN2GSJ54 · pith_short_8: 4MTRF5AJ

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/4MTRF5AJIN2GSJ54EFXZ5A2TOI \
  | 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: e32712f40943746927bc216f9e8353723c5778d5c2d711bb00b337fabcb73c90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee1a1b0a9691c91ea35b9f179d9322d7439c18be379c23ed6eb7e20518a59e4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-07-20T10:58:43Z",
    "title_canon_sha256": "51425459b6f11189c01549ee64239aa830ec2550a885b5e86e6d05de878a7f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.09815",
    "kind": "arxiv",
    "version": 3
  }
}