Pith Number

pith:ALTMBDYI

pith:2020:ALTMBDYI6NBUTKOQQ4UKVE74RM

not attested not anchored not stored refs pending

On strong solutions of It\^o's equations with a$\,\in W^{1}_{d}$ and b$\,\in L_{d}$

N.V. Krylov

arxiv:2007.06040 v1 · 2020-07-12 · 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{ALTMBDYI6NBUTKOQQ4UKVE74RM}

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

Non-Uniqueness for Nonlinear Fokker--Planck Equations and Their Associated Distribution-Dependent SDEs

Receipt and verification

First computed	2026-07-05T01:18:09.310907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02e6c08f08f34349a9d08728aa93fc8b3dd2eea960a4bfedf3128b7ef0cc1d53

Aliases

arxiv: 2007.06040 · arxiv_version: 2007.06040v1 · doi: 10.48550/arxiv.2007.06040 · pith_short_12: ALTMBDYI6NBU · pith_short_16: ALTMBDYI6NBUTKOQ · pith_short_8: ALTMBDYI

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/ALTMBDYI6NBUTKOQQ4UKVE74RM \
  | 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: 02e6c08f08f34349a9d08728aa93fc8b3dd2eea960a4bfedf3128b7ef0cc1d53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49fc9debff7c198c890aca0472f37f122f536c98b1b845867586521a7073545c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-07-12T17:04:25Z",
    "title_canon_sha256": "81e32c50b0da206a983631baa8cb203be8bf34d14b9ef070140cd3db04d0a1b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.06040",
    "kind": "arxiv",
    "version": 1
  }
}