Pith Number

pith:S7GBLP23

pith:2026:S7GBLP23WOZKIF7ZKHST7TBDYL

not attested not anchored not stored refs resolved

Bimodal Synchronization Performance: Why Noise and Sparse Connectivity Can Improve Collective Timing

Andreagiovanni Reina, Heiko Hamann, Tianfu Zhang, Till Aust

Collective synchrony in pulse-coupled models appears only near a critical balance of quorum threshold and pulse duration, where added noise or fewer connections suppresses stable multi-cluster traps.

arxiv:2605.17206 v1 · 2026-05-17 · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7GBLP23WOZKIF7ZKHST7TBDYL}

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.

Claims

C1strongest claim

collective synchrony emerges only near a critical balance between the quorum threshold (fraction of pulsing neighbors required to trigger a phase update) and the pulse duration (how long agents remain detectable to others). Within this parameter region, the system exhibits bimodal performance: it either reaches near-perfect synchronization or becomes trapped in stable multi-cluster states, where symmetrically phase-offset subgroups mutually reinforce one another and prevent global synchrony.

C2weakest assumption

The model assumes that interactions remain symmetric enough for phase-offset subgroups to form and persist as stable attractors without additional unmodeled perturbations or heterogeneities among agents.

C3one line summary

In a discrete pulse-coupled oscillator model, synchronization is bimodal near a critical quorum-pulse balance, with noise and sparse connectivity suppressing multi-cluster states to favor global timing.

References

16 extracted · 16 resolved · 0 Pith anchors

[1] Arenas , author A 2008 · doi:10.1016/j.physrep.2008.09.002

[2] In: Swarm Intelligence (ANTS 2022), LNCS, vol 2022

[3] Springer, Cham (2022).https://doi.org/10.1007/978-3-031-20176-9_19 2022 · doi:10.1007/978-3-031-20176-9_19

[4] Scientific American234(5), 74–85 (1976), http://www.jstor.org/stable/24950352 1976

[5] International Journal Complex Systems1695, 28–38 (2006).https://doi.org/ 10.1016/j.physd.2015.03.007 2006 · doi:10.1016/j.physd.2015.03.007

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:03:45.128447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97cc15bf5bb3b2a417f951e53fcc23c2fe7d45a7f3befdbc31bc174ea31dc22c

Aliases

arxiv: 2605.17206 · arxiv_version: 2605.17206v1 · doi: 10.48550/arxiv.2605.17206 · pith_short_12: S7GBLP23WOZK · pith_short_16: S7GBLP23WOZKIF7Z · pith_short_8: S7GBLP23

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/S7GBLP23WOZKIF7ZKHST7TBDYL \
  | 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: 97cc15bf5bb3b2a417f951e53fcc23c2fe7d45a7f3befdbc31bc174ea31dc22c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77952a0d0f7ab825a7acbc2ffa2d2ca99ccda13c59b06f2e3b5c433957dd4d82",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.MA",
    "submitted_at": "2026-05-17T00:38:49Z",
    "title_canon_sha256": "2449d19986e3325721d9476e96a25548c8471638c9d0f969611aec79d54f7034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17206",
    "kind": "arxiv",
    "version": 1
  }
}