Pith Number

pith:WD44N5FP

pith:2007:WD44N5FPRNF27GWTWJWRLUX6MP

not attested not anchored not stored refs pending

On stability of randomly switched nonlinear systems

Daniel Liberzon, Debasish Chatterjee

arxiv:0711.3632 v1 · 2007-11-22 · 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{WD44N5FPRNF27GWTWJWRLUX6MP}

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	2026-05-18T04:41:16.537204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f9c6f4af8b4baf9ad3b26d15d2fe63e24c10a1b0424f530b1741876ddaf12e

Aliases

arxiv: 0711.3632 · arxiv_version: 0711.3632v1 · doi: 10.48550/arxiv.0711.3632 · pith_short_12: WD44N5FPRNF2 · pith_short_16: WD44N5FPRNF27GWT · pith_short_8: WD44N5FP

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/WD44N5FPRNF27GWTWJWRLUX6MP \
  | 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: b0f9c6f4af8b4baf9ad3b26d15d2fe63e24c10a1b0424f530b1741876ddaf12e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bdba371916c12f4cdd0262e225c6e1871d763b8d5830f023a5111aa640dd003",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2007-11-22T18:22:55Z",
    "title_canon_sha256": "dbfad015336369429807a370c10613a9f273ec9601da056c338c83ee0599073c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.3632",
    "kind": "arxiv",
    "version": 1
  }
}