Pith Number

pith:SEDJNKXT

pith:2026:SEDJNKXT5H5PA6RXUXBSAD7XKP

not attested not anchored not stored refs pending

Kullback-Leibler Mirror-Prox for Measure-Valued Variational Inequalities and Mean-Field Equilibria

Erhan Bayraktar, Ibrahim Ekren, Lu Vy, Ziqing Zhang

arxiv:2608.10293 v1 · 2026-08-10 · 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{SEDJNKXT5H5PA6RXUXBSAD7XKP}

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	2026-08-12T00:23:48.784604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

910696aaf3e9faf07a37a5c3200ff753ff3cf8bef0dd3989d5bd6e87c3e505a5

Aliases

arxiv: 2608.10293 · arxiv_version: 2608.10293v1 · doi: 10.48550/arxiv.2608.10293 · pith_short_12: SEDJNKXT5H5P · pith_short_16: SEDJNKXT5H5PA6RX · pith_short_8: SEDJNKXT

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/SEDJNKXT5H5PA6RXUXBSAD7XKP \
  | 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: 910696aaf3e9faf07a37a5c3200ff753ff3cf8bef0dd3989d5bd6e87c3e505a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be6a74f32f506d0398a6c8b73d748778cd57eaadd6a77fd6a1ea8d1ec95d6bb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-10T23:01:07Z",
    "title_canon_sha256": "f01b51b98e4b1e989b80d60b6c00b13d2ca01b551cfba0cc9d08ed5c76c7c8da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10293",
    "kind": "arxiv",
    "version": 1
  }
}