Pith Number

pith:ZTW227YN

pith:2017:ZTW227YNBS6ZHGW52TYSMHWKIL

not attested not anchored not stored refs pending

Diffusion transformations, Black-Scholes equation and optimal stopping

Umut \c{C}etin

arxiv:1701.01085 v4 · 2017-01-04 · 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{ZTW227YNBS6ZHGW52TYSMHWKIL}

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	2026-05-18T00:24:39.832577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccedad7f0d0cbd939addd4f1261eca42f3165d7bb61e8d02f8e74effe1cc219d

Aliases

arxiv: 1701.01085 · arxiv_version: 1701.01085v4 · doi: 10.48550/arxiv.1701.01085 · pith_short_12: ZTW227YNBS6Z · pith_short_16: ZTW227YNBS6ZHGW5 · pith_short_8: ZTW227YN

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/ZTW227YNBS6ZHGW52TYSMHWKIL \
  | 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: ccedad7f0d0cbd939addd4f1261eca42f3165d7bb61e8d02f8e74effe1cc219d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d38a59200d4df7cbcbd86af29b7184c472caf99e197ecd8adeec425c3e92506",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-04T17:33:08Z",
    "title_canon_sha256": "744638c0f49a5e1f6873986ddfa3154db7f81a0d71cb92f173da1327a2b54bad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01085",
    "kind": "arxiv",
    "version": 4
  }
}