Pith Number

pith:M4UP4OD3

pith:2014:M4UP4OD33OF5VWQA4WNY67ZFXV

not attested not anchored not stored refs pending

An exact and explicit formula for pricing lookback options with regime switching

Leunglung Chan, Song-Ping Zhu

arxiv:1407.4864 v1 · 2014-07-18 · 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{M4UP4OD33OF5VWQA4WNY67ZFXV}

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	2026-05-18T02:47:22.523011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6728fe387bdb8bdada00e59b8f7f25bd6ac535ae39c8b788df340b26351f5c21

Aliases

arxiv: 1407.4864 · arxiv_version: 1407.4864v1 · doi: 10.48550/arxiv.1407.4864 · pith_short_12: M4UP4OD33OF5 · pith_short_16: M4UP4OD33OF5VWQA · pith_short_8: M4UP4OD3

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/M4UP4OD33OF5VWQA4WNY67ZFXV \
  | 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: 6728fe387bdb8bdada00e59b8f7f25bd6ac535ae39c8b788df340b26351f5c21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4354014bc881abcc01dea36f9096fbe47294c1b7106b3b321fea347719a7037",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2014-07-18T01:16:49Z",
    "title_canon_sha256": "176fe2bf04c0c65a855ff0ac7f214cf382b498c964d4a94da98994d8cc1d7740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4864",
    "kind": "arxiv",
    "version": 1
  }
}