Pith Number

pith:ZFWA3WOG

pith:2025:ZFWA3WOGUNJCW4MWBQRQWK3VO3

not attested not anchored not stored refs pending

Unsupervised Ground Metric Learning

Gabriele Steidl, Janis Auffenberg, Jonas Bresch, Oleh Melnyk

arxiv:2507.13094 v1 · 2025-07-17 · math.OC · cs.LG · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFWA3WOGUNJCW4MWBQRQWK3VO3}

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	2026-07-05T11:38:54.613711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c96c0dd9c6a3522b71960c230b2b7576d0716365f372277ee93e9a5cc229b501

Aliases

arxiv: 2507.13094 · arxiv_version: 2507.13094v1 · doi: 10.48550/arxiv.2507.13094 · pith_short_12: ZFWA3WOGUNJC · pith_short_16: ZFWA3WOGUNJCW4MW · pith_short_8: ZFWA3WOG

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/ZFWA3WOGUNJCW4MWBQRQWK3VO3 \
  | 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: c96c0dd9c6a3522b71960c230b2b7576d0716365f372277ee93e9a5cc229b501

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37dff59f51ab4b6c3387d98d5bf9618629c51382de83b72b6e5c470e5f7b97b4",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-17T13:06:24Z",
    "title_canon_sha256": "c695c99a31775974ce1991406e599e8e0e968cffacedce6dc14c8e02028fb3fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13094",
    "kind": "arxiv",
    "version": 1
  }
}