Pith Number

pith:KDPHIBND

pith:2018:KDPHIBNDSLBDXYBASKR6F53KU2

not attested not anchored not stored refs pending

A remark on global solutions to random 3D vorticity equations for small initial data

Michael R\"ockner, Rongchan Zhu, Xiangchan Zhu

arxiv:1803.01313 v1 · 2018-03-04 · 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{KDPHIBNDSLBDXYBASKR6F53KU2}

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	2026-05-18T00:22:01.104384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50de7405a392c23be02092a3e2f76aa6a1d2fa7c6773691222b827c6db2a9450

Aliases

arxiv: 1803.01313 · arxiv_version: 1803.01313v1 · doi: 10.48550/arxiv.1803.01313 · pith_short_12: KDPHIBNDSLBD · pith_short_16: KDPHIBNDSLBDXYBA · pith_short_8: KDPHIBND

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/KDPHIBNDSLBDXYBASKR6F53KU2 \
  | 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: 50de7405a392c23be02092a3e2f76aa6a1d2fa7c6773691222b827c6db2a9450

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00ad08683ea4822caf1d40328dd48fff82a55e19f908ea712f5218af72cca43e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-04T07:43:08Z",
    "title_canon_sha256": "4172b4920463b496e1e96f277929bdd3f75cd4e58dc68ab158707084e55f62b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01313",
    "kind": "arxiv",
    "version": 1
  }
}