Pith Number

pith:ISSK2MHB

pith:2025:ISSK2MHBQBFSZEYBO5BSMLS75G

not attested not anchored not stored refs pending

A kernel method for the learning of Wasserstein geometric flows

Daiying Yin, Jianyu Hu, Juan-Pablo Ortega

arxiv:2511.06655 v2 · 2025-11-10 · math.NA · cs.NA · math.DS · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISSK2MHBQBFSZEYBO5BSMLS75G}

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.

Receipt and verification

First computed	2026-08-04T01:58:07.591315Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44a4ad30e1804b2c93017743262e5fe9971daab1fd5cc772d1c54dda7cc16766

Aliases

arxiv: 2511.06655 · arxiv_version: 2511.06655v2 · doi: 10.48550/arxiv.2511.06655 · pith_short_12: ISSK2MHBQBFS · pith_short_16: ISSK2MHBQBFSZEYB · pith_short_8: ISSK2MHB

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/ISSK2MHBQBFSZEYBO5BSMLS75G \
  | 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: 44a4ad30e1804b2c93017743262e5fe9971daab1fd5cc772d1c54dda7cc16766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11489d2aecd1b6ab30715f400b30a0167440a6c9f6d71eb7156a07b1f0049410",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DS",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-11-10T03:08:39Z",
    "title_canon_sha256": "dd46e4912db1aa8cad1ca538d5239edc5c0ca40428adcf3b2af3fde2971cf025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.06655",
    "kind": "arxiv",
    "version": 2
  }
}