Pith Number

pith:QTRX6Q7X

pith:2010:QTRX6Q7XW56OLVH6JI2HRGI6MN

not attested not anchored not stored refs pending

Input-to-state stability of interconnected hybrid systems

Michael Kosmykov, Sergey Dashkovskiy

arxiv:1012.5528 v5 · 2010-12-26 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTRX6Q7XW56OLVH6JI2HRGI6MN}

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	2026-05-18T04:01:26.423686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84e37f43f7b77ce5d4fe4a3478991e637229be64bc0f063963ad98ebd47b4105

Aliases

arxiv: 1012.5528 · arxiv_version: 1012.5528v5 · doi: 10.48550/arxiv.1012.5528 · pith_short_12: QTRX6Q7XW56O · pith_short_16: QTRX6Q7XW56OLVH6 · pith_short_8: QTRX6Q7X

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/QTRX6Q7XW56OLVH6JI2HRGI6MN \
  | 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: 84e37f43f7b77ce5d4fe4a3478991e637229be64bc0f063963ad98ebd47b4105

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b29fe747f26464161c8ab34d9c13a1f44dcb7481ff28b37225ba7f1df1327cd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-12-26T16:54:49Z",
    "title_canon_sha256": "6e725c2ac612de7aad6298adcf7fdd595e8628f0c51caa861a03c66241d8447b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5528",
    "kind": "arxiv",
    "version": 5
  }
}