Pith Number

pith:2PI67SOQ

pith:2023:2PI67SOQN5EHTQNO3CZDJVAWKF

not attested not anchored not stored refs pending

Covariance alignment: from maximum likelihood estimation to Gromov-Wasserstein

George Stepaniants, Philippe Rigollet, Yanjun Han

arxiv:2311.13595 v1 · 2023-11-22 · math.ST · cs.LG · stat.ME · stat.ML · 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{2PI67SOQN5EHTQNO3CZDJVAWKF}

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

Gromov-Wasserstein Bound between Reeb and Mapper Graphs

Receipt and verification

First computed	2026-07-05T07:15:40.612148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d1efc9d06f4879c1aed8b234d416517949177a1e9768619c2f49cbc7f06a9d

Aliases

arxiv: 2311.13595 · arxiv_version: 2311.13595v1 · doi: 10.48550/arxiv.2311.13595 · pith_short_12: 2PI67SOQN5EH · pith_short_16: 2PI67SOQN5EHTQNO · pith_short_8: 2PI67SOQ

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/2PI67SOQN5EHTQNO3CZDJVAWKF \
  | 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: d3d1efc9d06f4879c1aed8b234d416517949177a1e9768619c2f49cbc7f06a9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de0f59d34949b296087ac52f372bdbcc7604409804634f65498c41cbe62a50ee",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ME",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-11-22T18:55:27Z",
    "title_canon_sha256": "d0149410fb55a6896fd136890cc2c77f260e66ece102e8b8e7b962a835149acd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.13595",
    "kind": "arxiv",
    "version": 1
  }
}