Pith Number

pith:YY4DJDKX

pith:2020:YY4DJDKX6GJIICQ5UMIIKIVIDT

not attested not anchored not stored refs pending

Convex Potential Flows: Universal Probability Distributions with Optimal Transport and Convex Optimization

Aaron Courville, Chin-Wei Huang, Christos Tsirigotis, Ricky T. Q. Chen

arxiv:2012.05942 v2 · 2020-12-10 · cs.LG · 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{YY4DJDKX6GJIICQ5UMIIKIVIDT}

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.

Cited by

6 papers in Pith

Factorizable Normalizing Flows for parameter-dependent density morphing

Input convex neural networks: universal approximation theorem and implementation for isotropic polyconvex hyperelastic energies

Universal Representation of Generalized Convex Functions and their Gradients

Rectified Flow: A Marginal Preserving Approach to Optimal Transport

Modeling isotropic polyconvex hyperelasticity by neural networks -- sufficient and necessary criteria for compressible and incompressible materials

Receipt and verification

First computed	2026-07-05T02:17:55.979035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c638348d57f192840a1da3108522a81cff4b53a3857d2f0855f9291e76041462

Aliases

arxiv: 2012.05942 · arxiv_version: 2012.05942v2 · doi: 10.48550/arxiv.2012.05942 · pith_short_12: YY4DJDKX6GJI · pith_short_16: YY4DJDKX6GJIICQ5 · pith_short_8: YY4DJDKX

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/YY4DJDKX6GJIICQ5UMIIKIVIDT \
  | 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: c638348d57f192840a1da3108522a81cff4b53a3857d2f0855f9291e76041462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eedd00d041d7a610d6fba32acb3a0e7d82a937bc4fc5ec911d99cfc327d431e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-12-10T19:36:34Z",
    "title_canon_sha256": "dc01107c696b96919f674d29edc97ea9513604a7aa841b8ed96d5e67188ab646"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.05942",
    "kind": "arxiv",
    "version": 2
  }
}