Pith Number

pith:NIYROJ75

pith:2017:NIYROJ75SJKXMYVZMZW4HKCU4P

not attested not anchored not stored refs pending

On the strong Markov property for stochastic differential equations driven by $G$-Brownian motion

Guomin Liu, Mingshang Hu, Xiaojun Ji

arxiv:1708.02186 v2 · 2017-08-07 · 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{NIYROJ75SJKXMYVZMZW4HKCU4P}

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	2026-05-18T00:29:29.401416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a311727fd92557662b9666dc3a854e3da9806566cb61ba6f6e2180d2e2635ab

Aliases

arxiv: 1708.02186 · arxiv_version: 1708.02186v2 · doi: 10.48550/arxiv.1708.02186 · pith_short_12: NIYROJ75SJKX · pith_short_16: NIYROJ75SJKXMYVZ · pith_short_8: NIYROJ75

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/NIYROJ75SJKXMYVZMZW4HKCU4P \
  | 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: 6a311727fd92557662b9666dc3a854e3da9806566cb61ba6f6e2180d2e2635ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d51231448d02935f28247f9206ced7adcb1e9182a881257fb577353911cd958",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-07T16:18:03Z",
    "title_canon_sha256": "56210e0b02d2affe2cd8fa13af2b34f87e6ffc8cfb206e101254d129eb981772"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02186",
    "kind": "arxiv",
    "version": 2
  }
}