Pith Number

pith:JHY6ZOTH

pith:2026:JHY6ZOTHD3ZF6R5P726ZWE7HV4

not attested not anchored not stored refs pending

Operator-theoretic approach to the partial integration of randomly coupled phase oscillators

Antoine Allard, Benjamin Claveau, Patrick Desrosiers, Vincent Thibeault

arxiv:2607.02617 v1 · 2026-07-01 · math.DS · math-ph · math.MP · nlin.AO · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JHY6ZOTHD3ZF6R5P726ZWE7HV4}

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	2026-07-07T00:16:03.643017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49f1ecba671ef25f47affebd9b13e7af363d7eb2db95a01219b8c5d389c6be3b

Aliases

arxiv: 2607.02617 · arxiv_version: 2607.02617v1 · doi: 10.48550/arxiv.2607.02617 · pith_short_12: JHY6ZOTHD3ZF · pith_short_16: JHY6ZOTHD3ZF6R5P · pith_short_8: JHY6ZOTH

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/JHY6ZOTHD3ZF6R5P726ZWE7HV4 \
  | 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: 49f1ecba671ef25f47affebd9b13e7af363d7eb2db95a01219b8c5d389c6be3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a58e7b250d6d4e87c990470aa73ac5bcb094227814531e752b0d11a8b0b749f4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.AO",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-01T20:08:32Z",
    "title_canon_sha256": "d09a050b83c35b94fc8ea1cc51e2060c0eddcaf7276f1f0230e0e6c5ecbf9905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02617",
    "kind": "arxiv",
    "version": 1
  }
}