pith. sign in
Pith Number

pith:CPX3Y6PL

pith:2016:CPX3Y6PL7MC5BIBYWQWSD2JPMG
not attested not anchored not stored refs pending

Multi-Purpose Binomial Model: Fitting all Moments to the Underlying Geometric Brownian Motion

F. Fabozzi, S. Rachev, S. Stoyanov, Y. S. Kim

arxiv:1612.01979 v1 · 2016-12-06 · q-fin.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CPX3Y6PL7MC5BIBYWQWSD2JPMG}

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 2026-05-18T00:55:40.068926Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

13efbc79ebfb05d0a038b42d21e92f61a4b58fdd1caf0b4bae9614a575b159cf

Aliases

arxiv: 1612.01979 · arxiv_version: 1612.01979v1 · doi: 10.48550/arxiv.1612.01979 · pith_short_12: CPX3Y6PL7MC5 · pith_short_16: CPX3Y6PL7MC5BIBY · pith_short_8: CPX3Y6PL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CPX3Y6PL7MC5BIBYWQWSD2JPMG \
  | 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: 13efbc79ebfb05d0a038b42d21e92f61a4b58fdd1caf0b4bae9614a575b159cf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f972f03537ace569668330be0c5c516c6d2badf910cc3f2f569b64dd165fbbb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2016-12-06T20:23:34Z",
    "title_canon_sha256": "58eedf746df20b4b2b5916716c62ee490775ac84b4dc142eb67f072679dd0ec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01979",
    "kind": "arxiv",
    "version": 1
  }
}