Pith Number

pith:526JB4YZ

pith:2017:526JB4YZDOJDFITJ53WMGA3GN6

not attested not anchored not stored refs pending

Phase limitations of Zames-Falb multipliers

Joaquin Carrasco, Shuai Wang, William P. Heath

arxiv:1704.02484 v2 · 2017-04-08 · cs.SY · 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{526JB4YZDOJDFITJ53WMGA3GN6}

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	2026-05-18T00:39:52.467619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eebc90f3191b9232a269eeecc303666fa1bcf23c609cf08fb2741d0fe9939d8d

Aliases

arxiv: 1704.02484 · arxiv_version: 1704.02484v2 · doi: 10.48550/arxiv.1704.02484 · pith_short_12: 526JB4YZDOJD · pith_short_16: 526JB4YZDOJDFITJ · pith_short_8: 526JB4YZ

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/526JB4YZDOJDFITJ53WMGA3GN6 \
  | 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: eebc90f3191b9232a269eeecc303666fa1bcf23c609cf08fb2741d0fe9939d8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63f6a643ab6be05a1d300dd2f717ec2e220df973e6f2dd6322ec9b55198e684b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2017-04-08T12:13:01Z",
    "title_canon_sha256": "4211b6f755282c693da52b35cc698ae21d76ec24db18d146f2054957205708cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02484",
    "kind": "arxiv",
    "version": 2
  }
}