Pith Number

pith:625TYIGA

pith:2020:625TYIGAASDV3GZ3ISKR5B4GV5

not attested not anchored not stored refs pending

Aligning Hyperbolic Representations: an Optimal Transport-based approach

Andr\'es Hoyos-Idrobo

arxiv:2012.01089 v1 · 2020-12-02 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{625TYIGAASDV3GZ3ISKR5B4GV5}

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

Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps

Receipt and verification

First computed	2026-07-05T01:56:35.310674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6bb3c20c004875d9b3b44951e8786af4340d1211c6f0fa49fc134b04fb61dc6

Aliases

arxiv: 2012.01089 · arxiv_version: 2012.01089v1 · doi: 10.48550/arxiv.2012.01089 · pith_short_12: 625TYIGAASDV · pith_short_16: 625TYIGAASDV3GZ3 · pith_short_8: 625TYIGA

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/625TYIGAASDV3GZ3ISKR5B4GV5 \
  | 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: f6bb3c20c004875d9b3b44951e8786af4340d1211c6f0fa49fc134b04fb61dc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11ddc42acc043852ec278b3034e4e1cc2b1290efd07130936170eb7494065f08",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2020-12-02T11:22:19Z",
    "title_canon_sha256": "0529260354e6e16bde4e400ea8f9f774c9b32fd0c6af83773c83d069a3b98ddf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.01089",
    "kind": "arxiv",
    "version": 1
  }
}