Pith Number

pith:ST4M54ZF

pith:2024:ST4M54ZF2Q77JJTHVE5WAE6V6N

not attested not anchored not stored refs pending

Examining Entropic Unbalanced Optimal Transport and Sinkhorn Divergences for Spatial Forecast Verification

Colin J. Cotter, Jacob J. M. Francis, Marion P. Mittermaier

arxiv:2412.16063 v3 · 2024-12-20 · math.OC · physics.ao-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ST4M54ZF2Q77JJTHVE5WAE6V6N}

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	2026-07-05T11:43:08.840437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94f8cef325d43ff4a667a93b6013d5f34c451604fc1b4cb799eb6db77aa134e5

Aliases

arxiv: 2412.16063 · arxiv_version: 2412.16063v3 · doi: 10.48550/arxiv.2412.16063 · pith_short_12: ST4M54ZF2Q77 · pith_short_16: ST4M54ZF2Q77JJTH · pith_short_8: ST4M54ZF

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/ST4M54ZF2Q77JJTHVE5WAE6V6N \
  | 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: 94f8cef325d43ff4a667a93b6013d5f34c451604fc1b4cb799eb6db77aa134e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0088de7bb0d2c7834e5686c895bfd1753baab3ef8dc41270902ce2002cdaf215",
    "cross_cats_sorted": [
      "physics.ao-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-20T17:06:53Z",
    "title_canon_sha256": "6403a1db077da81b0ada43a1e963ce9934417f1e7c01d63589f027ea20da4f60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16063",
    "kind": "arxiv",
    "version": 3
  }
}