Pith Number

pith:NOMUYLLK

pith:2019:NOMUYLLKL5INPIMPC6HKY4E6HB

not attested not anchored not stored refs pending

Inverting the Markovian projection, with an application to local stochastic volatility models

Daniel Lacker, Jiacheng Zhang, Mykhaylo Shkolnikov

arxiv:1905.06213 v1 · 2019-05-15 · math.PR · math.AP · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NOMUYLLKL5INPIMPC6HKY4E6HB}

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	2026-05-17T23:46:07.140960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b994c2d6a5f50d7a18f178eac709e3875a489d74c178663cf39a5e5b2fe852c

Aliases

arxiv: 1905.06213 · arxiv_version: 1905.06213v1 · doi: 10.48550/arxiv.1905.06213 · pith_short_12: NOMUYLLKL5IN · pith_short_16: NOMUYLLKL5INPIMP · pith_short_8: NOMUYLLK

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/NOMUYLLKL5INPIMPC6HKY4E6HB \
  | 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: 6b994c2d6a5f50d7a18f178eac709e3875a489d74c178663cf39a5e5b2fe852c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dbf81bacf1e172c6de92c60fd9504a0a59c356ffcc55adbb33c962543679086",
    "cross_cats_sorted": [
      "math.AP",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-15T14:39:18Z",
    "title_canon_sha256": "bbc82481f95bf4abe991968543e03322d288de0d8ad4b0d32f858210cc950405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06213",
    "kind": "arxiv",
    "version": 1
  }
}