Pith Number

pith:2OPVRLRT

pith:2020:2OPVRLRTBUHA46ZKWK6MIN5WSI

not attested not anchored not stored refs pending

Applications of Strassen's theorem and Choquet theory to optimal transport problems, to uniformly convex functions and to uniformly smooth functions

Krzysztof J. Ciosmak

arxiv:2001.11292 v2 · 2020-01-30 · math.FA · 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{2OPVRLRTBUHA46ZKWK6MIN5WSI}

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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.

Cited by

1 paper in Pith

A General Aubry-Mather Theory

Receipt and verification

First computed	2026-07-05T05:47:42.842961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d39f58ae330d0e0e7b2ab2bcc437b6923f40a41003592c4e6c30dc64c7e75584

Aliases

arxiv: 2001.11292 · arxiv_version: 2001.11292v2 · doi: 10.48550/arxiv.2001.11292 · pith_short_12: 2OPVRLRTBUHA · pith_short_16: 2OPVRLRTBUHA46ZK · pith_short_8: 2OPVRLRT

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/2OPVRLRTBUHA46ZKWK6MIN5WSI \
  | 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: d39f58ae330d0e0e7b2ab2bcc437b6923f40a41003592c4e6c30dc64c7e75584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c186bd456bfdf5dfa97dc8f27d618f24d53a39cc5ec97ddb97792de0d5522f5f",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-01-30T13:01:47Z",
    "title_canon_sha256": "555e8604ad7cbfc48f961d6ef9d8ddc6485452c2fbee0354ac5a71e0f7da01da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.11292",
    "kind": "arxiv",
    "version": 2
  }
}