Pith Number

pith:AXDHMX3B

pith:2010:AXDHMX3BCOOE35SOGKTW7VN5LA

not attested not anchored not stored refs pending

Long-term and blow-up behaviors of exponential moments in multi-dimensional affine diffusions

Hao Xing, Kyoung-Kuk Kim, Rudra P. Jena

arxiv:1010.2865 v4 · 2010-10-14 · q-fin.PR · 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{AXDHMX3BCOOE35SOGKTW7VN5LA}

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	2026-05-18T03:55:37.631376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05c6765f61139c4df64e32a76fd5bd583c80b6941db5cd40965be7a88dcdca79

Aliases

arxiv: 1010.2865 · arxiv_version: 1010.2865v4 · doi: 10.48550/arxiv.1010.2865 · pith_short_12: AXDHMX3BCOOE · pith_short_16: AXDHMX3BCOOE35SO · pith_short_8: AXDHMX3B

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/AXDHMX3BCOOE35SOGKTW7VN5LA \
  | 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: 05c6765f61139c4df64e32a76fd5bd583c80b6941db5cd40965be7a88dcdca79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e56905b64e796ab5efbeed37e87e9c0237ec18d854e83ff384c2cfb5a4c9de1b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2010-10-14T09:40:20Z",
    "title_canon_sha256": "5591174969f3de15147315ac46bee45d738b3767c2a75024587cd602b3b9bc26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2865",
    "kind": "arxiv",
    "version": 4
  }
}