Pith Number

pith:I35ZHRAA

pith:2025:I35ZHRAA4GFDFPLFP6FHK3NN4P

not attested not anchored not stored refs pending

Nested Optimal Transport Distances

Ruben Bontorno, Songyan Hou

arxiv:2509.06702 v1 · 2025-09-08 · cs.LG · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I35ZHRAA4GFDFPLFP6FHK3NN4P}

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	2026-07-05T12:06:51.284056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46fb93c400e18a32bd657f8a756dade3d5c9efaa0aa8c52cdd68919f697661db

Aliases

arxiv: 2509.06702 · arxiv_version: 2509.06702v1 · doi: 10.48550/arxiv.2509.06702 · pith_short_12: I35ZHRAA4GFD · pith_short_16: I35ZHRAA4GFDFPLF · pith_short_8: I35ZHRAA

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/I35ZHRAA4GFDFPLFP6FHK3NN4P \
  | 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: 46fb93c400e18a32bd657f8a756dade3d5c9efaa0aa8c52cdd68919f697661db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "416cdea11aeb4e1c24a294496e97c2dade3266c3e1a5551c3a5b9c0da642daf8",
    "cross_cats_sorted": [
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-09-08T13:55:18Z",
    "title_canon_sha256": "77f2c54019e203453a069eccbde032c16bab0151990049b4161b1263d06a372f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06702",
    "kind": "arxiv",
    "version": 1
  }
}