Pith Number

pith:J3KV5OPX

pith:2008:J3KV5OPXIOJVRQRBN26JTE36CV

not attested not anchored not stored refs pending

Well-posedness of the transport equation by stochastic perturbation

Enrico Priola, Franco Flandoli, Massimiliano Gubinelli

arxiv:0809.1310 v2 · 2008-09-08 · 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{J3KV5OPXIOJVRQRBN26JTE36CV}

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	2026-05-18T02:15:35.253006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ed55eb9f7439358c2216ebc99937e1578eaba1f5e73ebffc79412cf6d511eff

Aliases

arxiv: 0809.1310 · arxiv_version: 0809.1310v2 · doi: 10.48550/arxiv.0809.1310 · pith_short_12: J3KV5OPXIOJV · pith_short_16: J3KV5OPXIOJVRQRB · pith_short_8: J3KV5OPX

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/J3KV5OPXIOJVRQRBN26JTE36CV \
  | 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: 4ed55eb9f7439358c2216ebc99937e1578eaba1f5e73ebffc79412cf6d511eff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b85827bda5527cc3b199a0e75119d7865e3fe44e6c62a7079b29c92898f3b24a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-09-08T11:11:52Z",
    "title_canon_sha256": "dce290849f3b5ff7feac2b7fd206a2c17ea374799062438ed3ce877464bb6b55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.1310",
    "kind": "arxiv",
    "version": 2
  }
}