Pith Number

pith:VIOBTI24

pith:2016:VIOBTI24YO6T5NG5OSQ5S2AC6R

not attested not anchored not stored refs pending

Markov Selection and $W$-strong Feller for 3D Stochastic Primitive Equations

Rangrang Zhang, Zhao Dong

arxiv:1605.05793 v1 · 2016-05-19 · 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{VIOBTI24YO6T5NG5OSQ5S2AC6R}

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	2026-05-18T00:49:32.584594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa1c19a35cc3bd3eb4dd74a1d96802f45efec6e3e11e606b6175c8f182dd3de4

Aliases

arxiv: 1605.05793 · arxiv_version: 1605.05793v1 · doi: 10.48550/arxiv.1605.05793 · pith_short_12: VIOBTI24YO6T · pith_short_16: VIOBTI24YO6T5NG5 · pith_short_8: VIOBTI24

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/VIOBTI24YO6T5NG5OSQ5S2AC6R \
  | 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: aa1c19a35cc3bd3eb4dd74a1d96802f45efec6e3e11e606b6175c8f182dd3de4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1a90a678cada5d93b43a4e5b15ba7277d912975f902be1f90ae0351146888a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-19T02:10:40Z",
    "title_canon_sha256": "c6ad6b5d834895456fe38bbaf6e4ecadf8c1e4eaf4aa7baf969d245dd8b424a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05793",
    "kind": "arxiv",
    "version": 1
  }
}