Pith Number

pith:3FCR4RZ7

pith:2016:3FCR4RZ72OKCJB3VXDJ7MZETK7

not attested not anchored not stored refs pending

Canonical duality approach in the approximation of optimal Monge mass transfer mapping

Xiaojun Lu, Yanhua Wu

arxiv:1607.06554 v1 · 2016-07-22 · 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{3FCR4RZ72OKCJB3VXDJ7MZETK7}

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	2026-05-18T01:10:35.725587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9451e473fd394248775b8d3f6649357e0d557c6af9ef4ad2a8000de066bfcd8

Aliases

arxiv: 1607.06554 · arxiv_version: 1607.06554v1 · doi: 10.48550/arxiv.1607.06554 · pith_short_12: 3FCR4RZ72OKC · pith_short_16: 3FCR4RZ72OKCJB3V · pith_short_8: 3FCR4RZ7

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/3FCR4RZ72OKCJB3VXDJ7MZETK7 \
  | 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: d9451e473fd394248775b8d3f6649357e0d557c6af9ef4ad2a8000de066bfcd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb296654be4370b37f83a87d8b0fe59b1e76acf7b61e19708c1b194ee25a5a6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-22T04:17:58Z",
    "title_canon_sha256": "eec847b7a93a2f0392a3bf5406f62a69c97d7f05c4273f56a8c9df2849f7f24d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06554",
    "kind": "arxiv",
    "version": 1
  }
}