Pith Number

pith:E3IJP4UA

pith:2009:E3IJP4UAIOVKH7UOLKVLWJ6SNB

not attested not anchored not stored refs pending

An Excursion-Theoretic Approach to Stability of Discrete-Time Stochastic Hybrid Systems

Debasish Chatterjee, Soumik Pal

arxiv:0901.2269 v3 · 2009-01-15 · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3IJP4UAIOVKH7UOLKVLWJ6SNB}

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	2026-05-18T04:27:16.463014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26d097f28043aaa3fe8e5aaabb27d2687b85188aedd13e3398ae98f9b48a838d

Aliases

arxiv: 0901.2269 · arxiv_version: 0901.2269v3 · doi: 10.48550/arxiv.0901.2269 · pith_short_12: E3IJP4UAIOVK · pith_short_16: E3IJP4UAIOVKH7UO · pith_short_8: E3IJP4UA

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/E3IJP4UAIOVKH7UOLKVLWJ6SNB \
  | 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: 26d097f28043aaa3fe8e5aaabb27d2687b85188aedd13e3398ae98f9b48a838d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2c5280f037277948f1b914a6dc0be3ecf4f74a4ac6e30ffa0f90c91e6fb6983",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-01-15T14:16:30Z",
    "title_canon_sha256": "8de35290fd0fec5920800771bc4e55378d431cb3ba9e6456f9752b0bb433348a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.2269",
    "kind": "arxiv",
    "version": 3
  }
}