Pith Number

pith:DJKIDXT7

pith:2026:DJKIDXT7N6MIMCC7JE2OYPKJ27

not attested not anchored not stored refs pending

A Gradient Flow Perspective on Minimum MMD Estimation

Fran\c{c}ois-Xavier Briol, Louis Sharrock, Sophia Seulkee Kang, Xiaoyuan Cheng, Zonghao Chen

arxiv:2607.03871 v1 · 2026-07-04 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJKIDXT7N6MIMCC7JE2OYPKJ27}

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	2026-07-07T02:18:11.753453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a5481de7f6f9886085f4934ec3d49d7c56febce1368c5d164a8ef04c28e03fe

Aliases

arxiv: 2607.03871 · arxiv_version: 2607.03871v1 · doi: 10.48550/arxiv.2607.03871 · pith_short_12: DJKIDXT7N6MI · pith_short_16: DJKIDXT7N6MIMCC7 · pith_short_8: DJKIDXT7

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/DJKIDXT7N6MIMCC7JE2OYPKJ27 \
  | 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: 1a5481de7f6f9886085f4934ec3d49d7c56febce1368c5d164a8ef04c28e03fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95516c9449ff2283abe8e808fc3b5d55bff050f35d925c2cd17a8065caa64489",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-04T13:26:21Z",
    "title_canon_sha256": "2d52bdfdf21a5cbda0923c3d9f95c9503d6a36061ebd14d1851ee95deab6f0ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03871",
    "kind": "arxiv",
    "version": 1
  }
}