Pith Number

pith:2PWW3LUU

pith:2018:2PWW3LUU4KEYC2KW3PCIA25XT2

not attested not anchored not stored refs pending

Controllability of Neutral Stochastic Functional Integro-Differential Equations Driven by Fractional Brownian Motion with Hurst Parameter Lesser than 1/2

Brahim Boufoussi, Soufiane Mouchtabih

arxiv:1809.09482 v1 · 2018-09-22 · 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{2PWW3LUU4KEYC2KW3PCIA25XT2}

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	2026-05-18T00:04:51.086342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3ed6dae94e289816956dbc4806bb79e99af6a4e1f5efae0401b09f8123ec52a

Aliases

arxiv: 1809.09482 · arxiv_version: 1809.09482v1 · doi: 10.48550/arxiv.1809.09482 · pith_short_12: 2PWW3LUU4KEY · pith_short_16: 2PWW3LUU4KEYC2KW · pith_short_8: 2PWW3LUU

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/2PWW3LUU4KEYC2KW3PCIA25XT2 \
  | 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: d3ed6dae94e289816956dbc4806bb79e99af6a4e1f5efae0401b09f8123ec52a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9866fabe0657cca17080dc05e35d92bee548b4c1be55c6b1f80d6ade6fa90ef8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-22T19:07:02Z",
    "title_canon_sha256": "543c0f459f9b9e50aaaadb75a5798dcb8ce778ac4990dbe01b4a12a994e89855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09482",
    "kind": "arxiv",
    "version": 1
  }
}