Pith Number

pith:4OY6LUYY

pith:2013:4OY6LUYYUDTRKN47DMIQMMAN2O

not attested not anchored not stored refs pending

The Monge-Kantorovich problem for distributions and applications

Giuseppe Buttazzo, Guy Bouchitt\'e, Luigi De Pascale

arxiv:1312.5453 v1 · 2013-12-19 · 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{4OY6LUYYUDTRKN47DMIQMMAN2O}

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	2026-05-18T03:04:14.749661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3b1e5d318a0e715379f1b1106300dd39790736b75c786372c8c621ef348a348

Aliases

arxiv: 1312.5453 · arxiv_version: 1312.5453v1 · doi: 10.48550/arxiv.1312.5453 · pith_short_12: 4OY6LUYYUDTR · pith_short_16: 4OY6LUYYUDTRKN47 · pith_short_8: 4OY6LUYY

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/4OY6LUYYUDTRKN47DMIQMMAN2O \
  | 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: e3b1e5d318a0e715379f1b1106300dd39790736b75c786372c8c621ef348a348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdda5f7b78da04506897e3afb0048085f6bf470ef761457532ff41fad2e5db8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-12-19T09:22:54Z",
    "title_canon_sha256": "13259c8de5ee663f898677c31e19b7d057ab390bf0b958a56a2acc0cc58add2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5453",
    "kind": "arxiv",
    "version": 1
  }
}