Pith Number

pith:YRZ6XEMT

pith:2019:YRZ6XEMTM3GCPTPKX3YTIFX7VJ

not attested not anchored not stored refs pending

Cyclically monotone non-optimal $N$-marginal transport plans and Smirnov-type decompositions for $N$-flows

Mircea Petrache

arxiv:1903.09817 v1 · 2019-03-23 · math.AP · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRZ6XEMTM3GCPTPKX3YTIFX7VJ}

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	2026-05-17T23:50:35.411181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c473eb919366cc27cdeabef13416ffaa524158eabd099108e4f290deefcbefb0

Aliases

arxiv: 1903.09817 · arxiv_version: 1903.09817v1 · doi: 10.48550/arxiv.1903.09817 · pith_short_12: YRZ6XEMTM3GC · pith_short_16: YRZ6XEMTM3GCPTPK · pith_short_8: YRZ6XEMT

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/YRZ6XEMTM3GCPTPKX3YTIFX7VJ \
  | 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: c473eb919366cc27cdeabef13416ffaa524158eabd099108e4f290deefcbefb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54ffd4327a7e6399acdfcc9cc0d12d68b92fc6329fc1adf8ac6b89b601958a65",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-23T13:09:06Z",
    "title_canon_sha256": "27fa838a0375be000fd933f3fe7b82616df9221205d0f14ad63860f454be54bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09817",
    "kind": "arxiv",
    "version": 1
  }
}