Pith Number

pith:MR2KXXRO

pith:2012:MR2KXXROZ5YQKA3PIROUFEEPNO

not attested not anchored not stored refs pending

An iterative scheme for solving the optimal transportation problem

Jun Kitagawa

arxiv:1208.5172 v2 · 2012-08-25 · math.OC · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MR2KXXROZ5YQKA3PIROUFEEPNO}

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	2026-05-18T03:43:41.827236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6474abde2ecf7105036f445d42908f6b917c67343869b0518ff04214e749e114

Aliases

arxiv: 1208.5172 · arxiv_version: 1208.5172v2 · doi: 10.48550/arxiv.1208.5172 · pith_short_12: MR2KXXROZ5YQ · pith_short_16: MR2KXXROZ5YQKA3P · pith_short_8: MR2KXXRO

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/MR2KXXROZ5YQKA3PIROUFEEPNO \
  | 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: 6474abde2ecf7105036f445d42908f6b917c67343869b0518ff04214e749e114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36188f60007dbddc9cf81137bdd803b4e0686e267597fbfcad6be8c25f163f1f",
    "cross_cats_sorted": [
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-08-25T20:52:59Z",
    "title_canon_sha256": "0df4e3afc50dc3a00f32dab099cba226a0d354d71708445a47f735950ca6b762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5172",
    "kind": "arxiv",
    "version": 2
  }
}