Pith Number

pith:CWKBKP7O

pith:2018:CWKBKP7OTTSP67LOHR2CADPOFA

not attested not anchored not stored refs pending

On multistochastic Monge-Kantorovich problem, bitwise operations, and fractals

Alexander P. Zimin, Alexander V. Kolesnikov, Nikita A. Gladkov

arxiv:1803.10447 v1 · 2018-03-28 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWKBKP7OTTSP67LOHR2CADPOFA}

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	2026-05-18T00:19:55.385694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1594153fee9ce4ff7d6e3c74200dee281fe1c996b2dd9e5cbd22c35294c717a3

Aliases

arxiv: 1803.10447 · arxiv_version: 1803.10447v1 · doi: 10.48550/arxiv.1803.10447 · pith_short_12: CWKBKP7OTTSP · pith_short_16: CWKBKP7OTTSP67LO · pith_short_8: CWKBKP7O

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/CWKBKP7OTTSP67LOHR2CADPOFA \
  | 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: 1594153fee9ce4ff7d6e3c74200dee281fe1c996b2dd9e5cbd22c35294c717a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a84d3110c855a40919856f90baa2cb9832c93b267c5301a4f86c297332e76725",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-03-28T08:02:03Z",
    "title_canon_sha256": "3274b5dbe2d2860328017cf7fa2e6dccbe36c704ab37501257eb24327c7c5128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10447",
    "kind": "arxiv",
    "version": 1
  }
}