Pith Number

pith:NWTECYDW

pith:2026:NWTECYDWOZ7MTXNBXQQYWRG5A5

not attested not anchored not stored refs pending

A comparison principle for Wasserstein PDEs with state- and law-dependent common noise

Erhan Bayraktar, Ibrahim Ekren, Xihao He, Xin Zhang

arxiv:2606.04377 v1 · 2026-06-03 · 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{NWTECYDWOZ7MTXNBXQQYWRG5A5}

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	2026-06-04T01:09:05.795056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6da6416076767ec9dda1bc218b44dd074b53f4e745d209db47f9015f0617184d

Aliases

arxiv: 2606.04377 · arxiv_version: 2606.04377v1 · doi: 10.48550/arxiv.2606.04377 · pith_short_12: NWTECYDWOZ7M · pith_short_16: NWTECYDWOZ7MTXNB · pith_short_8: NWTECYDW

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/NWTECYDWOZ7MTXNBXQQYWRG5A5 \
  | 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: 6da6416076767ec9dda1bc218b44dd074b53f4e745d209db47f9015f0617184d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac1b94a32a4994e3a370b69bf93777bc893fce3afb477e685618eb282b4e85d8",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-03T02:50:42Z",
    "title_canon_sha256": "aa30662c6207c5115f09034ab7ac2c6734f4497184eaa0f03c9574f99c666946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04377",
    "kind": "arxiv",
    "version": 1
  }
}