Pith Number

pith:GHVIIQG5

pith:2016:GHVIIQG5HHS3G5OCUBGAFVCTCT

not attested not anchored not stored refs pending

Almost Periodic Solutions and Stable Solutions for Stochastic Differential Equations

Wenhe Wang, Yong Li, Zhenxin Liu

arxiv:1609.05726 v1 · 2016-09-19 · 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{GHVIIQG5HHS3G5OCUBGAFVCTCT}

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	2026-05-18T01:04:25.520728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31ea8440dd39e5b375c2a04c02d45314e0f27b7cf30d2ea2e391ff48b0e536bd

Aliases

arxiv: 1609.05726 · arxiv_version: 1609.05726v1 · doi: 10.48550/arxiv.1609.05726 · pith_short_12: GHVIIQG5HHS3 · pith_short_16: GHVIIQG5HHS3G5OC · pith_short_8: GHVIIQG5

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/GHVIIQG5HHS3G5OCUBGAFVCTCT \
  | 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: 31ea8440dd39e5b375c2a04c02d45314e0f27b7cf30d2ea2e391ff48b0e536bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "136dd2196a300b9cc47961521c4396a0c78e98008f3f743dcf8f2582d1c2597d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-19T13:45:45Z",
    "title_canon_sha256": "114362cbc3ac064b555c136aae3b5e44ab2ab545a5cf4d20ddced992616faae5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05726",
    "kind": "arxiv",
    "version": 1
  }
}