Pith Number

pith:VKSLW6HE

pith:2013:VKSLW6HEOSJZG47K7WGAFXXREQ

not attested not anchored not stored refs pending

Mirror and Synchronous Couplings of Geometric Brownian Motions

Aleksandar Mijatovic, Dejan Siraj, Saul D. Jacka

arxiv:1304.1999 v2 · 2013-04-07 · math.PR · q-fin.PM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKSLW6HEOSJZG47K7WGAFXXREQ}

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	2026-05-18T03:10:11.495330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaa4bb78e474939373eafd8c02def12430ffcb2d3368f6ed7e05136462f4a3b7

Aliases

arxiv: 1304.1999 · arxiv_version: 1304.1999v2 · doi: 10.48550/arxiv.1304.1999 · pith_short_12: VKSLW6HEOSJZ · pith_short_16: VKSLW6HEOSJZG47K · pith_short_8: VKSLW6HE

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/VKSLW6HEOSJZG47K7WGAFXXREQ \
  | 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: aaa4bb78e474939373eafd8c02def12430ffcb2d3368f6ed7e05136462f4a3b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9463dc11895804de5e6e2c7e0299bbda2eaf06e976e329a2ef9305e74cdcfcb",
    "cross_cats_sorted": [
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-07T13:51:55Z",
    "title_canon_sha256": "2d2dcf48fde72399a3b81742e2e35a232f3f1cae1242f1a654fdbed245106e5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1999",
    "kind": "arxiv",
    "version": 2
  }
}