Pith Number

pith:YILZDJO2

pith:2016:YILZDJO2JDENWCXJXVXGYB6BHW

not attested not anchored not stored refs pending

Well-posedness of the vector advection equations by stochastic perturbation

Christian Olivera, Franco Flandoli

arxiv:1609.06658 v2 · 2016-09-21 · 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{YILZDJO2JDENWCXJXVXGYB6BHW}

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	2026-05-18T00:45:22.324278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c21791a5da48c8db0ae9bd6e6c07c13d91ede383ea65e8b7c90669709335a7f9

Aliases

arxiv: 1609.06658 · arxiv_version: 1609.06658v2 · doi: 10.48550/arxiv.1609.06658 · pith_short_12: YILZDJO2JDEN · pith_short_16: YILZDJO2JDENWCXJ · pith_short_8: YILZDJO2

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/YILZDJO2JDENWCXJXVXGYB6BHW \
  | 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: c21791a5da48c8db0ae9bd6e6c07c13d91ede383ea65e8b7c90669709335a7f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e13628691498090849194fffbe3eb6ec15d0ec99ee35b2a26b93401b0aed66f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-21T18:12:52Z",
    "title_canon_sha256": "fb4632b0041cfdb6e6d40d557f514def63ae2d9cb7610b1ad6606f46398df45a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06658",
    "kind": "arxiv",
    "version": 2
  }
}