Pith Number

pith:PYHNOI75

pith:2015:PYHNOI75TOUJV5TPI2AGD2CGTT

not attested not anchored not stored refs pending

Forward rate models with linear volatilities

Jerzy Zabczyk, Micha{\l} Barski

arxiv:1512.05321 v1 · 2015-12-16 · q-fin.MF · 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{PYHNOI75TOUJV5TPI2AGD2CGTT}

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	2026-05-18T01:24:13.152770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e0ed723fd9ba89af66f468061e8469ce14e5e6a7b89700fb92ab4863d1fa0f1

Aliases

arxiv: 1512.05321 · arxiv_version: 1512.05321v1 · doi: 10.48550/arxiv.1512.05321 · pith_short_12: PYHNOI75TOUJ · pith_short_16: PYHNOI75TOUJV5TP · pith_short_8: PYHNOI75

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/PYHNOI75TOUJV5TPI2AGD2CGTT \
  | 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: 7e0ed723fd9ba89af66f468061e8469ce14e5e6a7b89700fb92ab4863d1fa0f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de738b60b6970b52bf4c75128e40e8db0ff4323a34dd887897a4b64d4042675",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2015-12-16T20:34:10Z",
    "title_canon_sha256": "dcd85b50a17de2fa3eae6b147e8bb248e572cdf138fc11c32c6896eed076e127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05321",
    "kind": "arxiv",
    "version": 1
  }
}