Pith Number

pith:LYM4FIIH

pith:2023:LYM4FIIHLCIKAXOBOPXQGBBS7M

not attested not anchored not stored refs pending

The randomized Milstein scheme for stochastic Volterra integral equations with weakly singular kernels

Junhao Hu, Shuaibin Gao, Zhaohang Wang, Zhuoqi Liu

arxiv:2312.03474 v1 · 2023-12-06 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LYM4FIIHLCIKAXOBOPXQGBBS7M}

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	2026-07-05T07:21:04.328667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e19c2a1075890a05dc173ef030432fb37e03cda07fa29e00334c034251cbd23

Aliases

arxiv: 2312.03474 · arxiv_version: 2312.03474v1 · doi: 10.48550/arxiv.2312.03474 · pith_short_12: LYM4FIIHLCIK · pith_short_16: LYM4FIIHLCIKAXOB · pith_short_8: LYM4FIIH

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/LYM4FIIHLCIKAXOBOPXQGBBS7M \
  | 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: 5e19c2a1075890a05dc173ef030432fb37e03cda07fa29e00334c034251cbd23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59de887af72ad67c747bab2005b9d58eaa1b2c7abb4c4e4b32d077e4383e8399",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-12-06T12:57:47Z",
    "title_canon_sha256": "8f96f9a48b947336eb862c0bc3e4abb868882779256d22bbb3e96894499c48ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.03474",
    "kind": "arxiv",
    "version": 1
  }
}