Pith Number

pith:2NOPVRI7

pith:2019:2NOPVRI75M7FZQKIKKG5VAZUT2

not attested not anchored not stored refs pending

Finsler structure for variable exponent Wasserstein space and gradient flows

Aboubacar Marcos, Ambroise Soglo

arxiv:1912.12450 v1 · 2019-12-28 · 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{2NOPVRI75M7FZQKIKKG5VAZUT2}

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

Variable Exponent Wasserstein Spaces: Stability of Entropy Convexity and Modified R\'enyi Entropy

Receipt and verification

First computed	2026-07-05T00:29:00.224626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d35cfac51feb3e5cc148528dda83349e84b46cef5309ede7b22ef3ff0722c693

Aliases

arxiv: 1912.12450 · arxiv_version: 1912.12450v1 · doi: 10.48550/arxiv.1912.12450 · pith_short_12: 2NOPVRI75M7F · pith_short_16: 2NOPVRI75M7FZQKI · pith_short_8: 2NOPVRI7

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/2NOPVRI75M7FZQKIKKG5VAZUT2 \
  | 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: d35cfac51feb3e5cc148528dda83349e84b46cef5309ede7b22ef3ff0722c693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb20e7ec833b87654e9b3ee804f21f4f47156c6a9996765af37ff3537d543bc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-12-28T12:11:52Z",
    "title_canon_sha256": "a443c695652862d5e4a66246ceda50c528dc74f2209374e62cdc7c6880bb2d0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.12450",
    "kind": "arxiv",
    "version": 1
  }
}