Pith Number

pith:THXMIUSD

pith:2026:THXMIUSDABESEZS3OIDXHTTB7W

not attested not anchored not stored refs pending

Distance-Matrix Wasserstein Statistics for Scalable Gromov--Wasserstein Learning

Ao Xu, Tieru Wu

arxiv:2605.14981 v1 · 2026-05-14 · 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{THXMIUSDABESEZS3OIDXHTTB7W}

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	2026-05-17T23:38:55.108655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99eec45243004922665b720773ce61fd811739837a649807819cba335533a3c0

Aliases

arxiv: 2605.14981 · arxiv_version: 2605.14981v1 · doi: 10.48550/arxiv.2605.14981 · pith_short_12: THXMIUSDABES · pith_short_16: THXMIUSDABESEZS3 · pith_short_8: THXMIUSD

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/THXMIUSDABESEZS3OIDXHTTB7W \
  | 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: 99eec45243004922665b720773ce61fd811739837a649807819cba335533a3c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d9be549705ec7efaf75a3f1d6889de9e24d6eb73044454d0cd6302ce9c3170c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-14T15:45:48Z",
    "title_canon_sha256": "827ddc850c40e69f48b2ce2783d3e16a0f4cecc61d7c5b3740f9a7c047d4e0b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14981",
    "kind": "arxiv",
    "version": 1
  }
}