Pith Number

pith:7M333435

pith:2005:7M333435B7V7DOZMXWNSXG6SY3

not attested not anchored not stored refs pending

Stability and the Lyapounov exponent of threshold AR-ARCH Models

Daren B. H. Cline, Huay-min H. Pu

arxiv:math/0503547 v1 · 2005-03-24 · 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{7M333435B7V7DOZMXWNSXG6SY3}

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	2026-05-18T01:05:23.563744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb37bdf37d0febf1bb2cbd9b2b9bd2c6e979f3a53186ffab1ed5b7bb74e29a94

Aliases

arxiv: math/0503547 · arxiv_version: math/0503547v1 · doi: 10.48550/arxiv.math/0503547 · pith_short_12: 7M333435B7V7 · pith_short_16: 7M333435B7V7DOZM · pith_short_8: 7M333435

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/7M333435B7V7DOZMXWNSXG6SY3 \
  | 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: fb37bdf37d0febf1bb2cbd9b2b9bd2c6e979f3a53186ffab1ed5b7bb74e29a94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a519c2f444780bac7cd7bbac6f541cfcf0875100016b189c6edaf69fa7fbdc1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-03-24T14:53:52Z",
    "title_canon_sha256": "93d8dc131683ed7eedf33b76b9a77d38b51603e85ac0643914a3041e0f0d8daa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503547",
    "kind": "arxiv",
    "version": 1
  }
}