Pith Number

pith:HQ3MPLAC

pith:2025:HQ3MPLAC23DBTRB4LMFEZAKC5B

not attested not anchored not stored refs pending

Nonlinear Dynamical Unbalanced Optimal Transport: Relaxation and Duality

Anders Rantzer, Dongjun Wu

arxiv:2504.03301 v1 · 2025-04-04 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQ3MPLAC23DBTRB4LMFEZAKC5B}

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	2026-07-05T10:44:29.661647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c36c7ac02d6c619c43c5b0a4c8142e86fc3c2308fbea903194d9b4b4ac20500

Aliases

arxiv: 2504.03301 · arxiv_version: 2504.03301v1 · doi: 10.48550/arxiv.2504.03301 · pith_short_12: HQ3MPLAC23DB · pith_short_16: HQ3MPLAC23DBTRB4 · pith_short_8: HQ3MPLAC

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/HQ3MPLAC23DBTRB4LMFEZAKC5B \
  | 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: 3c36c7ac02d6c619c43c5b0a4c8142e86fc3c2308fbea903194d9b4b4ac20500

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d85d9ed18ce6efbe8861440f2e3398e2614b8b6e28f211b9c3b5749e7a2ea7f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-04-04T09:27:14Z",
    "title_canon_sha256": "70c0745392575493b7788a5e243288c66f77847b43a934c2f7fe7511460c384d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.03301",
    "kind": "arxiv",
    "version": 1
  }
}