Pith Number

pith:4YLAO6RX

pith:2024:4YLAO6RXF7EUWAHID7VH7VFW7U

not attested not anchored not stored refs pending

Weak uniqueness for singular stochastic equations

Leonid Mytnik, Oleg Butkovsky

arxiv:2405.13780 v2 · 2024-05-22 · math.PR · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YLAO6RXF7EUWAHID7VH7VFW7U}

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.

Cited by

1 paper in Pith

Sharp pathwise nonuniqueness for additive SDEs

Receipt and verification

First computed	2026-07-05T10:41:46.601994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e616077a372fc94b00e81fea7fd4b6fd020736fe6c66a7f6f3031fa53d31271d

Aliases

arxiv: 2405.13780 · arxiv_version: 2405.13780v2 · doi: 10.48550/arxiv.2405.13780 · pith_short_12: 4YLAO6RXF7EU · pith_short_16: 4YLAO6RXF7EUWAHI · pith_short_8: 4YLAO6RX

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/4YLAO6RXF7EUWAHID7VH7VFW7U \
  | 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: e616077a372fc94b00e81fea7fd4b6fd020736fe6c66a7f6f3031fa53d31271d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8a615382e156a4b1bdf5183df108158600465252ad04701228d24bdbe21287a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-05-22T16:08:00Z",
    "title_canon_sha256": "e76cfb4de09df27435e9f706d86562704ce814bca144ddbccf01f1733ec9b439"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.13780",
    "kind": "arxiv",
    "version": 2
  }
}