Pith Number

pith:E6ZVC2SJ

pith:2026:E6ZVC2SJGB4JCPYHXTOUXP3MHY

not attested not anchored not stored refs pending

A symmetric mechanism for symmetry-breaking in oscillator networks with strong nonlinear coupling

Theodore Vo, Yangyang Wang

arxiv:2606.17780 v1 · 2026-06-16 · 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{E6ZVC2SJGB4JCPYHXTOUXP3MHY}

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	2026-06-19T16:10:21.606637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27b3516a493078913f07bcdd4bbf6c3e368794f893409ce168623275a9b28366

Aliases

arxiv: 2606.17780 · arxiv_version: 2606.17780v1 · doi: 10.48550/arxiv.2606.17780 · pith_short_12: E6ZVC2SJGB4J · pith_short_16: E6ZVC2SJGB4JCPYH · pith_short_8: E6ZVC2SJ

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/E6ZVC2SJGB4JCPYHXTOUXP3MHY \
  | 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: 27b3516a493078913f07bcdd4bbf6c3e368794f893409ce168623275a9b28366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9effd7cc81ab71825b2478a34a377313914f41e06e76acbf2e50b90e1af2ec26",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-16T10:57:33Z",
    "title_canon_sha256": "496eafb7c7110f3af64bab02b42fe45f956cef5f18717083a917fee3846ebc21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17780",
    "kind": "arxiv",
    "version": 1
  }
}