Pith Number

pith:UETCPQJK

pith:2015:UETCPQJKAD6NJNOYGERNYIO66N

not attested not anchored not stored refs pending

Symmetry reduction and exact solutions of the non-linear Black--Scholes equation

Oleksii Patsiuk, Sergii Kovalenko

arxiv:1512.06151 v2 · 2015-11-30 · 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{UETCPQJKAD6NJNOYGERNYIO66N}

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	2026-05-18T00:21:05.332302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a12627c12a00fcd4b5d83122dc21def358cabf8bc591d5c112c3f1935a11cac9

Aliases

arxiv: 1512.06151 · arxiv_version: 1512.06151v2 · doi: 10.48550/arxiv.1512.06151 · pith_short_12: UETCPQJKAD6N · pith_short_16: UETCPQJKAD6NJNOY · pith_short_8: UETCPQJK

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/UETCPQJKAD6NJNOYGERNYIO66N \
  | 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: a12627c12a00fcd4b5d83122dc21def358cabf8bc591d5c112c3f1935a11cac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b5069f7164013bcc347f8474981b4e3e7865759248eb6ac6b5e63b97a9ca29d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2015-11-30T13:02:54Z",
    "title_canon_sha256": "87eb3e16e48eb1712dc835840ddd5d93a1c9c8fef344b58d6057dfba2316bff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06151",
    "kind": "arxiv",
    "version": 2
  }
}