Pith Number

pith:NHLFRJKL

pith:2023:NHLFRJKLMM5URZ4OSYXV2O3VRV

not attested not anchored not stored refs pending

Path-by-path uniqueness for stochastic differential equations under Krylov-R\"ockner condition

Chengcheng Ling, Khoa L\^e, Lukas Anzeletti

arxiv:2304.06802 v2 · 2023-04-13 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHLFRJKLMM5URZ4OSYXV2O3VRV}

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

2 papers in Pith

Non-explosion principles for branched rough differential equations with unbounded coefficients

Sharp pathwise nonuniqueness for additive SDEs

Receipt and verification

First computed	2026-07-05T11:33:12.455463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69d658a54b633b48e78e962f5d3b758d6b9b8b34a38a30f7695a9180643dae0d

Aliases

arxiv: 2304.06802 · arxiv_version: 2304.06802v2 · doi: 10.48550/arxiv.2304.06802 · pith_short_12: NHLFRJKLMM5U · pith_short_16: NHLFRJKLMM5URZ4O · pith_short_8: NHLFRJKL

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/NHLFRJKLMM5URZ4OSYXV2O3VRV \
  | 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: 69d658a54b633b48e78e962f5d3b758d6b9b8b34a38a30f7695a9180643dae0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "812837ef4c19de9c3ece1714fe12471ab9a50e63e69cdd829b5bd0fef23d6d48",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-04-13T19:58:51Z",
    "title_canon_sha256": "10f5e7d1ca521ae1b69a0e483fd80306fcca32c9d7ddb0461ae58597b904fde9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.06802",
    "kind": "arxiv",
    "version": 2
  }
}