Pith Number

pith:O4IBLL2L

pith:2016:O4IBLL2LIPGTQUGLXXTBRMW4UV

not attested not anchored not stored refs pending

Small-time asymptotics for basket options -- the bi-variate SABR model and the hyperbolic heat kernel on $\mathbb{H}^3$

Hongzhong Zhang, Martin Forde

arxiv:1603.02896 v2 · 2016-03-09 · q-fin.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{O4IBLL2LIPGTQUGLXXTBRMW4UV}

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	2026-05-18T01:11:08.164642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

771015af4b43cd3850cbbde618b2dca572a692beb8d72f5f8357db9a493a9aba

Aliases

arxiv: 1603.02896 · arxiv_version: 1603.02896v2 · doi: 10.48550/arxiv.1603.02896 · pith_short_12: O4IBLL2LIPGT · pith_short_16: O4IBLL2LIPGTQUGL · pith_short_8: O4IBLL2L

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/O4IBLL2LIPGTQUGLXXTBRMW4UV \
  | 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: 771015af4b43cd3850cbbde618b2dca572a692beb8d72f5f8357db9a493a9aba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f74fd87f15db055f6224c092ed3df7e7e448af7696acc6de9aa0120316829725",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2016-03-09T14:18:19Z",
    "title_canon_sha256": "93093983a898640e36d6f136f531e28d5b01949e1943d785f8fe048540f53c71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02896",
    "kind": "arxiv",
    "version": 2
  }
}