Pith Number

pith:GMQKTAPK

pith:2013:GMQKTAPK25MU34TPDU3YJXSHTU

not attested not anchored not stored refs pending

A geometric study of Wasserstein spaces: an addendum on the boundary

Benoit Kloeckner (IF), J\'er\^ome Bertrand (IMT)

arxiv:1302.1424 v2 · 2013-02-06 · math.DG · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMQKTAPK25MU34TPDU3YJXSHTU}

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	2026-05-18T03:25:58.596155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3320a981ead7594df26f1d3784de479d1c812109bec1a6a428da3746e6593c8a

Aliases

arxiv: 1302.1424 · arxiv_version: 1302.1424v2 · doi: 10.48550/arxiv.1302.1424 · pith_short_12: GMQKTAPK25MU · pith_short_16: GMQKTAPK25MU34TP · pith_short_8: GMQKTAPK

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/GMQKTAPK25MU34TPDU3YJXSHTU \
  | 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: 3320a981ead7594df26f1d3784de479d1c812109bec1a6a428da3746e6593c8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "314c20ef3076f5afe8d387c0f62a1fd95d8e279da573ba9624c2a68d90921d58",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-06T16:28:06Z",
    "title_canon_sha256": "e13bdb717d82488bfdaf267a19b3857abc52b86825d90c5fdbb940c20a697f83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1424",
    "kind": "arxiv",
    "version": 2
  }
}