Pith Number

pith:VVDTXYM4

pith:2026:VVDTXYM4BLTA3WKBSNDQO4PN2C

not attested not anchored not stored refs pending

The Kuramoto Neural Operator: Learning to Solve PDEs via Coupled Oscillator Dynamics

Aleksandr Beznosikov, Dmitry Bylinkin, Leonid Obukhov, Petr Badolia

arxiv:2608.10234 v1 · 2026-08-10 · cs.CE · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVDTXYM4BLTA3WKBSNDQO4PN2C}

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	2026-08-12T00:23:08.940338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad473be19c0ae60dd94193470771edd0aad5c59c79149f9650d60cbff72e2604

Aliases

arxiv: 2608.10234 · arxiv_version: 2608.10234v1 · doi: 10.48550/arxiv.2608.10234 · pith_short_12: VVDTXYM4BLTA · pith_short_16: VVDTXYM4BLTA3WKB · pith_short_8: VVDTXYM4

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/VVDTXYM4BLTA3WKBSNDQO4PN2C \
  | 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: ad473be19c0ae60dd94193470771edd0aad5c59c79149f9650d60cbff72e2604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51b064234306f362b520ca5f7634740ea89df4966be660dea408ca8fa7874d28",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2026-08-10T21:11:58Z",
    "title_canon_sha256": "2aecfa01b92fb38cbd77f01189ce9bd30226583d2699852fca00d33e1f3e40d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10234",
    "kind": "arxiv",
    "version": 1
  }
}