Pith Number

pith:5ZBBUHB5

pith:2009:5ZBBUHB52ZYQNUVQHSEILMBNY7

not attested not anchored not stored refs pending

Asymptotic behavior of unstable INAR(p) processes

Gyula Pap, Marton Ispany, Matyas Barczy

arxiv:0908.4560 v5 · 2009-08-31 · 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{5ZBBUHB52ZYQNUVQHSEILMBNY7}

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	2026-05-18T04:30:59.872529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee421a1c3dd67106d2b03c8885b02dc7de7218d7e0566fe85d1e46f288dfde16

Aliases

arxiv: 0908.4560 · arxiv_version: 0908.4560v5 · doi: 10.48550/arxiv.0908.4560 · pith_short_12: 5ZBBUHB52ZYQ · pith_short_16: 5ZBBUHB52ZYQNUVQ · pith_short_8: 5ZBBUHB5

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/5ZBBUHB52ZYQNUVQHSEILMBNY7 \
  | 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: ee421a1c3dd67106d2b03c8885b02dc7de7218d7e0566fe85d1e46f288dfde16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c03e811cc10e51e1904eeeddd33d91fa4cd3a041bfc653ca536fc49f72e0436c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-08-31T15:21:25Z",
    "title_canon_sha256": "b077135679c15016f509eff2c090a49fb357446ffaf175253262a201bd30a1fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4560",
    "kind": "arxiv",
    "version": 5
  }
}