Pith Number

pith:WDT3QB36

pith:2011:WDT3QB36I3MT75X7M5IYIXZUQD

not attested not anchored not stored refs pending

On the one-sided Tanaka equation with drift

Albert N. Shiryaev, Ioannis Karatzas, Mykhaylo Shkolnikov

arxiv:1108.4069 v1 · 2011-08-19 · 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{WDT3QB36I3MT75X7M5IYIXZUQD}

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	2026-05-18T04:14:56.242290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0e7b8077e46d93ff6ff6751845f3480d503eca4f52268941f2d3e24979c8306

Aliases

arxiv: 1108.4069 · arxiv_version: 1108.4069v1 · doi: 10.48550/arxiv.1108.4069 · pith_short_12: WDT3QB36I3MT · pith_short_16: WDT3QB36I3MT75X7 · pith_short_8: WDT3QB36

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/WDT3QB36I3MT75X7M5IYIXZUQD \
  | 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: b0e7b8077e46d93ff6ff6751845f3480d503eca4f52268941f2d3e24979c8306

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3181af63e4904a3467c2995111a0a30c689c5699713c678ed1de7ed6fc092517",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-19T22:41:10Z",
    "title_canon_sha256": "f7be033c7afa20cea94e17bfc589a174097a38b035212bc99c0565eedb340d25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4069",
    "kind": "arxiv",
    "version": 1
  }
}