Pith Number

pith:NHCYXCZI

pith:2023:NHCYXCZIAZQDE6MLKTJNNHDHIP

not attested not anchored not stored refs pending

Synchronization of Differential Equations Driven by Linear Multiplicative Fractional Brownian Motion

Hongjun Gao, Qiyong Cao, Wei Wei

arxiv:2312.05575 v1 · 2023-12-09 · 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{NHCYXCZIAZQDE6MLKTJNNHDHIP}

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	2026-07-05T07:22:29.261429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69c58b8b28066032798b54d2d69c6743f4ccb2921c727f83e5ceb82c88bd22ac

Aliases

arxiv: 2312.05575 · arxiv_version: 2312.05575v1 · doi: 10.48550/arxiv.2312.05575 · pith_short_12: NHCYXCZIAZQD · pith_short_16: NHCYXCZIAZQDE6ML · pith_short_8: NHCYXCZI

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/NHCYXCZIAZQDE6MLKTJNNHDHIP \
  | 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: 69c58b8b28066032798b54d2d69c6743f4ccb2921c727f83e5ceb82c88bd22ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb1c70790f27ff6f5d31e76ccefa194694d31d4fa1421b1debb93a921c8275fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-12-09T13:46:08Z",
    "title_canon_sha256": "d8b107e0b485b545a72e859f94ded224f8f3d4fa7fe8247a0ec095d04bd71734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.05575",
    "kind": "arxiv",
    "version": 1
  }
}