Pith Number

pith:AA4IKYEF

pith:2017:AA4IKYEFTR5B5AT2ZOQCEAYGVJ

not attested not anchored not stored refs pending

Absolute regularity of semi-contractive GARCH-type processes

Michael H. Neumann, Paul Doukhan

arxiv:1711.04282 v3 · 2017-11-12 · 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{AA4IKYEFTR5B5AT2ZOQCEAYGVJ}

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	2026-05-17T23:40:14.402701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00388560859c7a1e827acba0220306aa6a0fce23b493f70279b884b3f789a2ba

Aliases

arxiv: 1711.04282 · arxiv_version: 1711.04282v3 · doi: 10.48550/arxiv.1711.04282 · pith_short_12: AA4IKYEFTR5B · pith_short_16: AA4IKYEFTR5B5AT2 · pith_short_8: AA4IKYEF

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/AA4IKYEFTR5B5AT2ZOQCEAYGVJ \
  | 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: 00388560859c7a1e827acba0220306aa6a0fce23b493f70279b884b3f789a2ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fbff9b5ee7e0b094855065f6c3afde03dcbcf21e2679732fc5016e6de62424d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-12T12:24:45Z",
    "title_canon_sha256": "dcfb88bb5b065acc55079c8e17dfd8bed22192f0a22e1e30c5db45053fa74914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04282",
    "kind": "arxiv",
    "version": 3
  }
}