Pith Number

pith:CE5PM2KL

pith:2010:CE5PM2KLOPIVT25VLZ3LQVIU6M

not attested not anchored not stored refs pending

Heath-Jarrow-Morton-Musiela equation with linear volatility

Jerzy Zabczyk, Michal Barski

arxiv:1010.5808 v2 · 2010-10-27 · math.PR · 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{CE5PM2KLOPIVT25VLZ3LQVIU6M}

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	2026-05-18T04:36:48.995101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

113af6694b73d159ebb55e76b85514f304ccad83bec5b995cef0333da8f34759

Aliases

arxiv: 1010.5808 · arxiv_version: 1010.5808v2 · doi: 10.48550/arxiv.1010.5808 · pith_short_12: CE5PM2KLOPIV · pith_short_16: CE5PM2KLOPIVT25V · pith_short_8: CE5PM2KL

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/CE5PM2KLOPIVT25VLZ3LQVIU6M \
  | 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: 113af6694b73d159ebb55e76b85514f304ccad83bec5b995cef0333da8f34759

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe3df18f5fc9b0888c23634d0d4d3502d9bc42b7b6f0ecd342c86ebbe2d501cd",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-27T21:08:35Z",
    "title_canon_sha256": "b0f11d2a87e057f8ee1d5eb041d1439b199c24cc3ca62d5bae320202e23112b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5808",
    "kind": "arxiv",
    "version": 2
  }
}