Pith Number

pith:6ET33664

pith:2025:6ET33664CABWSHOR536BS2K7OA

not attested not anchored not stored refs pending

Mixed Small Gain and Phase Theorem: A new view using Scale Relative Graphs

Adolfo Anta, Alberto Padoan, Eder Baron-Prada, Florian D\"orfler

arxiv:2503.13367 v1 · 2025-03-17 · math.OC · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ET33664CABWSHOR536BS2K7OA}

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.

Cited by

4 papers in Pith

Learning Dynamic Stability Landscapes in Synchronization Networks

Analysis of Non-Square Nonlinear MIMO Systems using Scaled Relative Graphs

Computable Characterisations of Scaled Relative Graphs of Closed Operators

Symmetry Is Almost All You Need: Robust Stability with Uncertainty Induced by Symmetric SRG Regions

Receipt and verification

First computed	2026-07-05T10:32:59.150917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f127bdfbdc1003691dd1eefc19695f70034b0e8dbaa8cf907108aa649bb7b471

Aliases

arxiv: 2503.13367 · arxiv_version: 2503.13367v1 · doi: 10.48550/arxiv.2503.13367 · pith_short_12: 6ET33664CABW · pith_short_16: 6ET33664CABWSHOR · pith_short_8: 6ET33664

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/6ET33664CABWSHOR536BS2K7OA \
  | 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: f127bdfbdc1003691dd1eefc19695f70034b0e8dbaa8cf907108aa649bb7b471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94e9683ff4b5d3b51e0946a750fa0ff89b9cae5af99af01b6ac1f5869f1af406",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-03-17T16:52:16Z",
    "title_canon_sha256": "56330e3e2155d574a6b8e837054023f0d9d28abc76939226af77e21986393b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.13367",
    "kind": "arxiv",
    "version": 1
  }
}