Pith Number

pith:YWSXA77P

pith:2026:YWSXA77PZNF2FPW7KUJF5FQ3MX

not attested not anchored not stored refs pending

A solvable normal form for coupled swarmalators

Kevin P. O'Keeffe

arxiv:2607.09810 v1 · 2026-07-10 · 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{YWSXA77PZNF2FPW7KUJF5FQ3MX}

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	2026-07-14T00:18:37.014983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5a5707fefcb4ba2bedf55125e961b65e989312eba315d685dc892e96a9d2ae9

Aliases

arxiv: 2607.09810 · arxiv_version: 2607.09810v1 · doi: 10.48550/arxiv.2607.09810 · pith_short_12: YWSXA77PZNF2 · pith_short_16: YWSXA77PZNF2FPW7 · pith_short_8: YWSXA77P

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/YWSXA77PZNF2FPW7KUJF5FQ3MX \
  | 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: c5a5707fefcb4ba2bedf55125e961b65e989312eba315d685dc892e96a9d2ae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49be6bc5c7d81765043acb5e0c0e5b0f1aa6b5768e59f4053b9119bc5c4b21f6",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2026-07-10T01:32:28Z",
    "title_canon_sha256": "8ae83af968043954d90b692ef6caa3f5dfa21b2a1dd6e6ca29bcf7f2df59faf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09810",
    "kind": "arxiv",
    "version": 1
  }
}