Pith Number

pith:I5PE4FYZ

pith:2022:I5PE4FYZQELWRYHCNXKHA2I3PP

not attested not anchored not stored refs pending

Persistence of autoregressive sequences with logarithmic tails

Denis Denisov, Gunter Hinrich, Martin Kolb, Vitali Wachtel

arxiv:2203.14772 v1 · 2022-03-28 · 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{I5PE4FYZQELWRYHCNXKHA2I3PP}

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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.

Cited by

1 paper in Pith

Persistence of AR($1$) sequences with Rademacher innovations and linear mod $1$ transforms

Receipt and verification

First computed	2026-07-05T04:09:08.766975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

475e4e1719811768e0e26dd470691b7bc56361fd4cc57648b3af1a32d75806b7

Aliases

arxiv: 2203.14772 · arxiv_version: 2203.14772v1 · doi: 10.48550/arxiv.2203.14772 · pith_short_12: I5PE4FYZQELW · pith_short_16: I5PE4FYZQELWRYHC · pith_short_8: I5PE4FYZ

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/I5PE4FYZQELWRYHCNXKHA2I3PP \
  | 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: 475e4e1719811768e0e26dd470691b7bc56361fd4cc57648b3af1a32d75806b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28b9640e52824e1ae9bd147302e720e2db0d1a126922d966ed05bd9228ad890a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-03-28T14:05:23Z",
    "title_canon_sha256": "26920f00cc6a121967b68775ec6934171d8a1edf545c1f299ea1bd369e4fa5e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.14772",
    "kind": "arxiv",
    "version": 1
  }
}