Pith Number

pith:YSENAD2X

pith:2016:YSENAD2XJTGRPMTBM2BLRH4XA6

not attested not anchored not stored refs pending

{ Euclidean, Metric, and Wasserstein } Gradient Flows: an overview

Filippo Santambrogio (LM-Orsay)

arxiv:1609.03890 v1 · 2016-09-13 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSENAD2XJTGRPMTBM2BLRH4XA6}

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

3 papers in Pith

The physics of AI weather models

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

Consistency Regularised Gradient Flows for Inverse Problems

Receipt and verification

First computed	2026-05-18T01:04:42.228864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c488d00f574ccd17b2616682b89f9707bd2c4ec17bba739a4f0f39dd394fc0ba

Aliases

arxiv: 1609.03890 · arxiv_version: 1609.03890v1 · doi: 10.48550/arxiv.1609.03890 · pith_short_12: YSENAD2XJTGR · pith_short_16: YSENAD2XJTGRPMTB · pith_short_8: YSENAD2X

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/YSENAD2XJTGRPMTBM2BLRH4XA6 \
  | 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: c488d00f574ccd17b2616682b89f9707bd2c4ec17bba739a4f0f39dd394fc0ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5208465864bc20e050d2dd4f5fc241287aef90a755f38d90bcfcd8cf2755a67",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-13T15:10:24Z",
    "title_canon_sha256": "ef691a8f8d2148e286daaaf77defe18c70cedaa1a3683f73068569d867368272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03890",
    "kind": "arxiv",
    "version": 1
  }
}