Pith Number

pith:P7UOWO2Q

pith:2012:P7UOWO2Q73ET4BSDNZ6APXJJPW

not attested not anchored not stored refs pending

Necessary and sufficient conditions for periodic decaying resolvents in linear discrete convolution Volterra equations and applications to ARCH$(\infty)$ processes

John A. Daniels, John A. D. Appleby

arxiv:1202.5573 v1 · 2012-02-24 · math.CA · 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{P7UOWO2Q73ET4BSDNZ6APXJJPW}

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	2026-05-18T04:01:25.367524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fe8eb3b50fec93e06436e7c07dd297dbd7cc46b6063d7576ccb1284f9a0a196

Aliases

arxiv: 1202.5573 · arxiv_version: 1202.5573v1 · doi: 10.48550/arxiv.1202.5573 · pith_short_12: P7UOWO2Q73ET · pith_short_16: P7UOWO2Q73ET4BSD · pith_short_8: P7UOWO2Q

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/P7UOWO2Q73ET4BSDNZ6APXJJPW \
  | 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: 7fe8eb3b50fec93e06436e7c07dd297dbd7cc46b6063d7576ccb1284f9a0a196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bdc4ad0c5bfe110a34713c8c5921c6446c69eae180b3994d25aa5df69059a2e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-24T22:01:57Z",
    "title_canon_sha256": "fbb668526cad4479dea4e21ca2c1fe93d9915c3d069793410db6ff2ddd430c47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5573",
    "kind": "arxiv",
    "version": 1
  }
}