Pith Number

pith:T5RR4BHL

pith:2021:T5RR4BHLTHGAKQ7FYSEQIQI43M

not attested not anchored not stored refs pending

Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials

Alin Bostan, Gerold Alsmeyer, Kilian Raschel, Thomas Simon

arxiv:2112.03016 v2 · 2021-12-06 · math.PR · math.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5RR4BHLTHGAKQ7FYSEQIQI43M}

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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	2026-07-05T04:17:38.062118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f631e04eb99cc0543e5c48904411cdb2c766efa3c16416faf3c918a9e56ea35

Aliases

arxiv: 2112.03016 · arxiv_version: 2112.03016v2 · doi: 10.48550/arxiv.2112.03016 · pith_short_12: T5RR4BHLTHGA · pith_short_16: T5RR4BHLTHGAKQ7F · pith_short_8: T5RR4BHL

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/T5RR4BHLTHGAKQ7FYSEQIQI43M \
  | 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: 9f631e04eb99cc0543e5c48904411cdb2c766efa3c16416faf3c918a9e56ea35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "752df565298737cc79d66e503d8d681800d40091099fc8e5ec9522f3490b2ab3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-12-06T13:17:05Z",
    "title_canon_sha256": "dee5e62e4a126979fc390536c673f941235a9839f4bd929e5eb5604e1d6e8740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.03016",
    "kind": "arxiv",
    "version": 2
  }
}