Pith Number

pith:ILLUZ6GO

pith:2009:ILLUZ6GOJWWHAQZOXRTOZEXXVZ

not attested not anchored not stored refs pending

A general "bang-bang" principle for predicting the maximum of a random walk

Pieter C. Allaart

arxiv:0910.0545 v1 · 2009-10-03 · math.PR · q-fin.PM · q-fin.ST

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILLUZ6GOJWWHAQZOXRTOZEXXVZ}

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	2026-05-18T04:29:54.027116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d74cf8ce4dac70432ebc66ec92f7ae5ea5ec24cf5ea9fe4f0cd4a5e5158d4c

Aliases

arxiv: 0910.0545 · arxiv_version: 0910.0545v1 · doi: 10.48550/arxiv.0910.0545 · pith_short_12: ILLUZ6GOJWWH · pith_short_16: ILLUZ6GOJWWHAQZO · pith_short_8: ILLUZ6GO

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/ILLUZ6GOJWWHAQZOXRTOZEXXVZ \
  | 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: 42d74cf8ce4dac70432ebc66ec92f7ae5ea5ec24cf5ea9fe4f0cd4a5e5158d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "368fab89921cafe59b719cf27d856e9a6ad4e2997f8c80923c59b6103e8fbbac",
    "cross_cats_sorted": [
      "q-fin.PM",
      "q-fin.ST"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-03T14:12:20Z",
    "title_canon_sha256": "24014c72955a6a32538a8be73cd2f4874fba6829dc429c51b6c0259fe8bbbbae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0545",
    "kind": "arxiv",
    "version": 1
  }
}