Pith Number

pith:GITF546W

pith:2011:GITF546WC4L746XKKYT5JH7GUZ

not attested not anchored not stored refs pending

Mixed stochastic differential equations with long-range dependence: existence, uniqueness and convergence of solutions

Georgiy Shevchenko, Yuliya Mishura

arxiv:1112.2332 v2 · 2011-12-11 · 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{GITF546WC4L746XKKYT5JH7GUZ}

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	2026-05-18T03:41:02.490105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32265ef3d61717fe7aea5627d49fe6a6470a7b187fe43b1623c2c1d974ba4af9

Aliases

arxiv: 1112.2332 · arxiv_version: 1112.2332v2 · doi: 10.48550/arxiv.1112.2332 · pith_short_12: GITF546WC4L7 · pith_short_16: GITF546WC4L746XK · pith_short_8: GITF546W

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/GITF546WC4L746XKKYT5JH7GUZ \
  | 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: 32265ef3d61717fe7aea5627d49fe6a6470a7b187fe43b1623c2c1d974ba4af9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2be2aaabbc451e0e49a76e34b622a7448818a397f32f24c4d5bef96556feae4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-11T07:47:56Z",
    "title_canon_sha256": "a4181033593817a87e357f83e3cbe3df23a527e995563dd54dfd14cc839d91bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2332",
    "kind": "arxiv",
    "version": 2
  }
}