Pith Number

pith:PRWLD5VH

pith:2017:PRWLD5VHBJYUDDZHLUXI4SW56W

not attested not anchored not stored refs pending

Most Probable Phase Portraits of Stochastic Differential Equations and its Numerical Simulation

Bing Yang, Ling Wang, Zhu Zeng

arxiv:1703.06789 v1 · 2017-03-17 · 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{PRWLD5VHBJYUDDZHLUXI4SW56W}

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	2026-05-18T00:48:21.719752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c6cb1f6a70a71418f275d2e8e4addf5bacce9f05ccecaef448f0cc7d7a92239

Aliases

arxiv: 1703.06789 · arxiv_version: 1703.06789v1 · doi: 10.48550/arxiv.1703.06789 · pith_short_12: PRWLD5VHBJYU · pith_short_16: PRWLD5VHBJYUDDZH · pith_short_8: PRWLD5VH

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/PRWLD5VHBJYUDDZHLUXI4SW56W \
  | 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: 7c6cb1f6a70a71418f275d2e8e4addf5bacce9f05ccecaef448f0cc7d7a92239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f97d0f9817ed05a46768d32657e56e0cf9352587c45065a0fdbd4b167542242",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-17T14:45:07Z",
    "title_canon_sha256": "27c766f90a9eee3467582d1b943582690f11edd67fb4776851a30e488acb5f28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06789",
    "kind": "arxiv",
    "version": 1
  }
}