Pith Number

pith:6TADTV7Y

pith:2020:6TADTV7YTKECRT34IKX3S4KDGU

not attested not anchored not stored refs pending

Asymptotic expansion for the transition densities of stochastic differential equations driven by the gamma processes

Fan Jiang, Jingping Yang, Xin Zang

arxiv:2003.06218 v1 · 2020-03-13 · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TADTV7YTKECRT34IKX3S4KDGU}

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	2026-07-05T00:47:44.737273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4c039d7f89a8828cf7c42afb97143350774ae9d87e2a661641835b92e8b3f14

Aliases

arxiv: 2003.06218 · arxiv_version: 2003.06218v1 · doi: 10.48550/arxiv.2003.06218 · pith_short_12: 6TADTV7YTKEC · pith_short_16: 6TADTV7YTKECRT34 · pith_short_8: 6TADTV7Y

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/6TADTV7YTKECRT34IKX3S4KDGU \
  | 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: f4c039d7f89a8828cf7c42afb97143350774ae9d87e2a661641835b92e8b3f14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c264c463603d329da04520c08359345c03ce199fe57d0b1474d8a5447370e3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2020-03-13T12:16:11Z",
    "title_canon_sha256": "618eedbb7aab95569b4874a3eda64c0fcc8a298e36bdcb41cafbc2fcdbc7fff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.06218",
    "kind": "arxiv",
    "version": 1
  }
}