Pith Number

pith:JBLUZEX2

pith:2012:JBLUZEX2QO2R3GOJDUVGZKYH5L

not attested not anchored not stored refs pending

On Semi-discrete Monge Kantorovich and generalized partitions

Gershon Wolansky

arxiv:1208.1137 v1 · 2012-08-06 · 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{JBLUZEX2QO2R3GOJDUVGZKYH5L}

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	2026-05-18T03:49:20.486663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48574c92fa83b51d99c91d2a6cab07ead5e02791de62de3bf07b727a9b26e94e

Aliases

arxiv: 1208.1137 · arxiv_version: 1208.1137v1 · doi: 10.48550/arxiv.1208.1137 · pith_short_12: JBLUZEX2QO2R · pith_short_16: JBLUZEX2QO2R3GOJ · pith_short_8: JBLUZEX2

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/JBLUZEX2QO2R3GOJDUVGZKYH5L \
  | 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: 48574c92fa83b51d99c91d2a6cab07ead5e02791de62de3bf07b727a9b26e94e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51ca8f4ae9c214bcbe46812f4a59b270ec22ea364bc205faf7e8572d0f96759c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-08-06T11:29:07Z",
    "title_canon_sha256": "30aeab9d94de5c8f76ade29df3b2e4ff0eeb5754a3a1ae2052a7b135b5fb497f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1137",
    "kind": "arxiv",
    "version": 1
  }
}