Pith Number

pith:KDYNZAI2

pith:2013:KDYNZAI2KFPMF34ZRXENXJIG64

not attested not anchored not stored refs pending

Existence, Stability and Bifurcation of Random Complete and Periodic Solutions of Stochastic Parabolic Equations

Bixiang Wang

arxiv:1304.4884 v1 · 2013-04-17 · math.DS · math.AP · 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{KDYNZAI2KFPMF34ZRXENXJIG64}

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	2026-05-18T03:27:43.410088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f0dc811a515ec2ef998dc8dba506f7222367210e8c974c85d9f51f9cdb0cba

Aliases

arxiv: 1304.4884 · arxiv_version: 1304.4884v1 · doi: 10.48550/arxiv.1304.4884 · pith_short_12: KDYNZAI2KFPM · pith_short_16: KDYNZAI2KFPMF34Z · pith_short_8: KDYNZAI2

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/KDYNZAI2KFPMF34ZRXENXJIG64 \
  | 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: 50f0dc811a515ec2ef998dc8dba506f7222367210e8c974c85d9f51f9cdb0cba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75cce43879c99da1b006acb1f09e1480bbce788534fc40386cfb5a61d21b8789",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-17T16:40:29Z",
    "title_canon_sha256": "3b39c58ba7364ea3f3afc664d2b8b88214cf0113abb52347f59f2d7933c28634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4884",
    "kind": "arxiv",
    "version": 1
  }
}