Pith Number

pith:VMVCFWCD

pith:2023:VMVCFWCDMXW7CH7EQSPKG27MHA

not attested not anchored not stored refs pending

Comparison of viscosity solutions for a class of second order PDEs on the Wasserstein space

Erhan Bayraktar, Ibrahim Ekren, Xin Zhang

arxiv:2309.05040 v3 · 2023-09-10 · 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{VMVCFWCDMXW7CH7EQSPKG27MHA}

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

1 paper in Pith

The randomization method in stochastic optimal control

Receipt and verification

First computed	2026-07-05T09:20:37.510788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab2a22d84365edf11fe4849ea36bec38088d90fdbffc32635baca9eaa5b512ae

Aliases

arxiv: 2309.05040 · arxiv_version: 2309.05040v3 · doi: 10.48550/arxiv.2309.05040 · pith_short_12: VMVCFWCDMXW7 · pith_short_16: VMVCFWCDMXW7CH7E · pith_short_8: VMVCFWCD

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/VMVCFWCDMXW7CH7EQSPKG27MHA \
  | 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: ab2a22d84365edf11fe4849ea36bec38088d90fdbffc32635baca9eaa5b512ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2d2b3d26e911d3939ca52b8bc8fb45703000ecca8b1a48c07f84d2b18b3c932",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-09-10T14:30:53Z",
    "title_canon_sha256": "839b3efef56d2d58d593651459bd5ba862c7b0a8a5ffc0d00f34f583af2a7a16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.05040",
    "kind": "arxiv",
    "version": 3
  }
}