Pith Number

pith:QIEGEHIV

pith:2018:QIEGEHIVDRQHGWQCJJZOC3O3KV

not attested not anchored not stored refs pending

Bifurcation in mean phase portraits for stochastic dynamical systems with multiplicative Gaussian noise

Athanasios Tsiairis, Hui Wang, Jinqiao Duan

arxiv:1811.05354 v1 · 2018-11-02 · math.DS · math.PR · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIEGEHIVDRQHGWQCJJZOC3O3KV}

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	2026-05-18T00:00:46.312814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8208621d151c60735a024a72e16ddb55512491ccdbc88b10c719da28ccb70c34

Aliases

arxiv: 1811.05354 · arxiv_version: 1811.05354v1 · doi: 10.48550/arxiv.1811.05354 · pith_short_12: QIEGEHIVDRQH · pith_short_16: QIEGEHIVDRQHGWQC · pith_short_8: QIEGEHIV

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/QIEGEHIVDRQHGWQCJJZOC3O3KV \
  | 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: 8208621d151c60735a024a72e16ddb55512491ccdbc88b10c719da28ccb70c34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85fc1e3b30d18df904f2f5b9b34b49ccd528f237dafb58bba3a0e5859da65b74",
    "cross_cats_sorted": [
      "math.PR",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-11-02T02:53:26Z",
    "title_canon_sha256": "ab0d91d743c8cdbd4755337a47f45180b651e0e753ae986c72d5a92f59e6fd62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05354",
    "kind": "arxiv",
    "version": 1
  }
}