Pith Number

pith:ZX7SR33M

pith:2025:ZX7SR33MN75DTGKEOIBBE73475

not attested not anchored not stored refs pending

Wellposedness and averaging principle for conditional distribution dependent SDEs driven by standard Brownian motions and fractional Brownian motions

Li Tan, Shengrong Wang

arxiv:2504.21268 v1 · 2025-04-30 · 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{ZX7SR33MN75DTGKEOIBBE73475}

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	2026-07-05T10:56:21.208066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdff28ef6c6ffa3999447202127f7cff4fd05d62348013fd18d72a5b1fcae605

Aliases

arxiv: 2504.21268 · arxiv_version: 2504.21268v1 · doi: 10.48550/arxiv.2504.21268 · pith_short_12: ZX7SR33MN75D · pith_short_16: ZX7SR33MN75DTGKE · pith_short_8: ZX7SR33M

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/ZX7SR33MN75DTGKEOIBBE73475 \
  | 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: cdff28ef6c6ffa3999447202127f7cff4fd05d62348013fd18d72a5b1fcae605

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e56b476d8baaf8ae57bd5e6ee32a4bda572f6d9507b12e9450e0a96628f2a1db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-04-30T02:51:19Z",
    "title_canon_sha256": "632c5eaa01628a2909bd510d6aa8e0e2e76a4cebe40543e851ce7f9f04ea1818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.21268",
    "kind": "arxiv",
    "version": 1
  }
}