Pith Number

pith:GNSG6WQA

pith:2019:GNSG6WQAORRVORUCJQU67L3RAX

not attested not anchored not stored refs pending

Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations

Baoyou Qu, Chunrong Feng, Huaizhong Zhao

arxiv:1908.10015 v2 · 2019-08-27 · math.PR · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNSG6WQAORRVORUCJQU67L3RAX}

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	2026-07-05T02:24:23.636202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33646f5a0074635746824c29efaf7105e5e56aaa649fb0e259e8ce7bad7203e8

Aliases

arxiv: 1908.10015 · arxiv_version: 1908.10015v2 · doi: 10.48550/arxiv.1908.10015 · pith_short_12: GNSG6WQAORRV · pith_short_16: GNSG6WQAORRVORUC · pith_short_8: GNSG6WQA

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/GNSG6WQAORRVORUCJQU67L3RAX \
  | 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: 33646f5a0074635746824c29efaf7105e5e56aaa649fb0e259e8ce7bad7203e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "832e4d675a4588df96a79cadd24443a9865e2e9e6c2a16abeb984b99e97f1ff8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-27T04:15:20Z",
    "title_canon_sha256": "628f52db5dc72686ec1b9dc77e8a199819862e5c3e6c0eee60314235de6bbb5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10015",
    "kind": "arxiv",
    "version": 2
  }
}