Pith Number

pith:ACRZTT5N

pith:2017:ACRZTT5NXPS5H3RQIO2FM3FPFL

not attested not anchored not stored refs pending

Periodic, Quasi-Periodic, Almost Periodic, Almost Automorphic, Birkhoff Recurrent and Poisson Stable Solutions for Stochastic Differential Equations

David Cheban, Zhenxin Liu

arxiv:1702.02718 v1 · 2017-02-09 · math.DS · 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{ACRZTT5NXPS5H3RQIO2FM3FPFL}

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	2026-05-18T00:51:02.659121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00a399cfadbbe5d3ee3043b4566caf2ac545eba97028cfea5767ad71962c1e49

Aliases

arxiv: 1702.02718 · arxiv_version: 1702.02718v1 · doi: 10.48550/arxiv.1702.02718 · pith_short_12: ACRZTT5NXPS5 · pith_short_16: ACRZTT5NXPS5H3RQ · pith_short_8: ACRZTT5N

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/ACRZTT5NXPS5H3RQIO2FM3FPFL \
  | 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: 00a399cfadbbe5d3ee3043b4566caf2ac545eba97028cfea5767ad71962c1e49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b21d6aea2e83eb244661bcaac2136d777909469b8aab236d408bcc4cf9264b9b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-02-09T06:25:26Z",
    "title_canon_sha256": "ff3e2648f3f74d55ec17a3577e5f9f52c7b55c5bab296bec18ac823440a8170f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02718",
    "kind": "arxiv",
    "version": 1
  }
}