Pith Number

pith:CFVMZ36S

pith:2015:CFVMZ36S6RTPLXOKLPISA22ULN

not attested not anchored not stored refs pending

Optimal Transport with Coulomb cost. Approximation and duality

Luigi De Pascale

arxiv:1503.07063 v2 · 2015-03-24 · math.AP · 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{CFVMZ36S6RTPLXOKLPISA22ULN}

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	2026-05-18T02:16:40.801058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

116accefd2f466f5ddca5bd1206b545b61af8c4d5ec0d5d974d7f54f56d35d0e

Aliases

arxiv: 1503.07063 · arxiv_version: 1503.07063v2 · doi: 10.48550/arxiv.1503.07063 · pith_short_12: CFVMZ36S6RTP · pith_short_16: CFVMZ36S6RTPLXOK · pith_short_8: CFVMZ36S

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/CFVMZ36S6RTPLXOKLPISA22ULN \
  | 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: 116accefd2f466f5ddca5bd1206b545b61af8c4d5ec0d5d974d7f54f56d35d0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78852d5dc74c29e62cf6536d034075907f13babe439351c4a7daaab1ec6f0ab0",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-24T14:52:26Z",
    "title_canon_sha256": "354e41724cf05df1832a2b205dc6a017afdf67f465172157ac7bbfc2fe0f22d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07063",
    "kind": "arxiv",
    "version": 2
  }
}