Pith Number

pith:VQJAA7R3

pith:2012:VQJAA7R3OC3TLV2TSRNGOAPBSP

not attested not anchored not stored refs pending

Mixed fractional stochastic differential equations with jumps

Georgiy Shevchenko

arxiv:1206.3637 v3 · 2012-06-16 · 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{VQJAA7R3OC3TLV2TSRNGOAPBSP}

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	2026-05-18T03:29:27.452828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac12007e3b70b735d753945a6701e193f2b65aba09e3c93fdf99c516cd0001eb

Aliases

arxiv: 1206.3637 · arxiv_version: 1206.3637v3 · doi: 10.48550/arxiv.1206.3637 · pith_short_12: VQJAA7R3OC3T · pith_short_16: VQJAA7R3OC3TLV2T · pith_short_8: VQJAA7R3

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/VQJAA7R3OC3TLV2TSRNGOAPBSP \
  | 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: ac12007e3b70b735d753945a6701e193f2b65aba09e3c93fdf99c516cd0001eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e29bebd0c1f913e90c808adef6b34b6bb696bb777ea1e118d8c01aa6f6a9125",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-16T07:44:33Z",
    "title_canon_sha256": "b5b8d8e2a3df470e11068f7ee0e1e4efa55e522e63806d4cb0492655c276cc59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3637",
    "kind": "arxiv",
    "version": 3
  }
}