Pith Number

pith:TVP6DSEW

pith:2015:TVP6DSEW6GI4P7DPASQ6KW77BB

not attested not anchored not stored refs pending

Introduction to Stochastic Differential Equations (SDEs) for Finance

Andrew Papanicolaou

arxiv:1504.05309 v14 · 2015-04-21 · 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{TVP6DSEW6GI4P7DPASQ6KW77BB}

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	2026-05-17T23:57:06.258733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d5fe1c896f191c7fc6f04a1e55bff0863e6f58bc2a640b54dd04edba66e32ac

Aliases

arxiv: 1504.05309 · arxiv_version: 1504.05309v14 · doi: 10.48550/arxiv.1504.05309 · pith_short_12: TVP6DSEW6GI4 · pith_short_16: TVP6DSEW6GI4P7DP · pith_short_8: TVP6DSEW

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/TVP6DSEW6GI4P7DPASQ6KW77BB \
  | 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: 9d5fe1c896f191c7fc6f04a1e55bff0863e6f58bc2a640b54dd04edba66e32ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14da5a5b01597016720a9bba7b0c6f002365a19135690c24fa308fc01452b9b2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2015-04-21T05:12:25Z",
    "title_canon_sha256": "fa5919fb2a20a6f8a4d4551febba4bc97eeba60e3c9a9bf9d5db1c0d68017e8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05309",
    "kind": "arxiv",
    "version": 14
  }
}