Pith Number

pith:KKPMT3VW

pith:2025:KKPMT3VWX2Y5GZKV3CZ7P5RPUY

not attested not anchored not stored refs pending

Mean-field approach to finite-size fluctuations in the Kuramoto-Sakaguchi model

Georg A. Gottwald, Oleh E. Omel'chenko

arxiv:2511.03700 v3 · 2025-11-05 · nlin.AO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KKPMT3VWX2Y5GZKV3CZ7P5RPUY}

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	2026-05-17T23:39:17.199333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

529ec9eeb6beb1d36555d8b3f7f62fa61e1c02837cae113d89741deea6a3aa65

Aliases

arxiv: 2511.03700 · arxiv_version: 2511.03700v3 · doi: 10.48550/arxiv.2511.03700 · pith_short_12: KKPMT3VWX2Y5 · pith_short_16: KKPMT3VWX2Y5GZKV · pith_short_8: KKPMT3VW

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/KKPMT3VWX2Y5GZKV3CZ7P5RPUY \
  | 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: 529ec9eeb6beb1d36555d8b3f7f62fa61e1c02837cae113d89741deea6a3aa65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e361a2ec53b72c2f2ab3c561a70a30e4058b70854d47723deb6c6e31802292f4",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2025-11-05T18:29:21Z",
    "title_canon_sha256": "a67bce52f9999f341d0214776714d6efbd157bf6be302c871f814a1a3083bd1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.03700",
    "kind": "arxiv",
    "version": 3
  }
}