Pith Number

pith:4HSJRZF7

pith:2025:4HSJRZF7O66KFPDK2WPUA5TRQ3

not attested not anchored not stored refs pending

Vector valued optimal transport: from dynamic to static formulations

{\DJ}or{\dj}e Nikoli\'c, Katy Craig, Nicol\'as Garc\'ia Trillos

arxiv:2505.03670 v1 · 2025-05-06 · math.AP · cs.LG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HSJRZF7O66KFPDK2WPUA5TRQ3}

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	2026-07-05T10:59:20.256156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1e498e4bf77bca2bc6ad59f40767186c48a95416e57a75e448e6a1690af7dc0

Aliases

arxiv: 2505.03670 · arxiv_version: 2505.03670v1 · doi: 10.48550/arxiv.2505.03670 · pith_short_12: 4HSJRZF7O66K · pith_short_16: 4HSJRZF7O66KFPDK · pith_short_8: 4HSJRZF7

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/4HSJRZF7O66KFPDK2WPUA5TRQ3 \
  | 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: e1e498e4bf77bca2bc6ad59f40767186c48a95416e57a75e448e6a1690af7dc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1cb7f486fc220f4aedd5a79a1c5f7b951d4d95d79466585af3a56222dbfbb53",
    "cross_cats_sorted": [
      "cs.LG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-06T16:10:03Z",
    "title_canon_sha256": "785b63beb8ba3a797ed0823474ec2866ee04883443776390c5be315c9754a8c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.03670",
    "kind": "arxiv",
    "version": 1
  }
}