Pith Number

pith:WV2XJAAQ

pith:2005:WV2XJAAQW73HZ5PTJBTKQWCDIV

not attested not anchored not stored refs pending

An ISS Small-Gain Theorem for General Networks

Bj\"orn S. R\"uffer, Fabian R. Wirth, Sergey Dashkovskiy

arxiv:math/0506434 v1 · 2005-06-21 · 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{WV2XJAAQW73HZ5PTJBTKQWCDIV}

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	2026-05-18T04:41:05.457801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b575748010b7f67cf5f34866a85843456e008430d2ebd95e0930e83bf7c78822

Aliases

arxiv: math/0506434 · arxiv_version: math/0506434v1 · doi: 10.48550/arxiv.math/0506434 · pith_short_12: WV2XJAAQW73H · pith_short_16: WV2XJAAQW73HZ5PT · pith_short_8: WV2XJAAQ

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/WV2XJAAQW73HZ5PTJBTKQWCDIV \
  | 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: b575748010b7f67cf5f34866a85843456e008430d2ebd95e0930e83bf7c78822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46cc4a81475c594cafa5fe9a945f28a0a6200600630bd1324210b3de49096297",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2005-06-21T16:06:43Z",
    "title_canon_sha256": "1acdf44aed4c2bc711b16926456328d3249bdbff3e4fb7a05a45b5a0a51837ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506434",
    "kind": "arxiv",
    "version": 1
  }
}