Pith Number

pith:PPZAUYUJ

pith:2015:PPZAUYUJFXWN2UIVXCI2N2E22C

not attested not anchored not stored refs pending

On stability analysis by using Nyquist and Nichols Charts

Mehrdad Saif, S.M.Mahdi Alavi

arxiv:1511.04752 v1 · 2015-11-15 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPZAUYUJFXWN2UIVXCI2N2E22C}

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	2026-05-18T01:26:51.781832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf20a62892decdd5115b891a6e89ad08190c06e01338cbf4e41d4f0751aa891

Aliases

arxiv: 1511.04752 · arxiv_version: 1511.04752v1 · doi: 10.48550/arxiv.1511.04752 · pith_short_12: PPZAUYUJFXWN · pith_short_16: PPZAUYUJFXWN2UIV · pith_short_8: PPZAUYUJ

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/PPZAUYUJFXWN2UIVXCI2N2E22C \
  | 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: 7bf20a62892decdd5115b891a6e89ad08190c06e01338cbf4e41d4f0751aa891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ffe4c5d759f292c26e232792b49e43b3ab628702a5aaa5dbd2ad35f92dfde15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-11-15T18:40:34Z",
    "title_canon_sha256": "0644a414e7315be95b7b58d94aca7aa882b95376566e3836d663b217da1c3d19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04752",
    "kind": "arxiv",
    "version": 1
  }
}