Pith Number

pith:ULMTFW2A

pith:2009:ULMTFW2A73YZIPWUKDXDH57I7N

not attested not anchored not stored refs pending

Predicting the supremum: optimality of "stop at once or not at all"

Pieter C. Allaart

arxiv:0912.0615 v3 · 2009-12-03 · 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{ULMTFW2A73YZIPWUKDXDH57I7N}

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	2026-05-18T03:59:47.988867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2d932db40fef1943ed450ee33f7e8fb509e2820e5325158e523d054cedbc93b

Aliases

arxiv: 0912.0615 · arxiv_version: 0912.0615v3 · doi: 10.48550/arxiv.0912.0615 · pith_short_12: ULMTFW2A73YZ · pith_short_16: ULMTFW2A73YZIPWU · pith_short_8: ULMTFW2A

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/ULMTFW2A73YZIPWUKDXDH57I7N \
  | 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: a2d932db40fef1943ed450ee33f7e8fb509e2820e5325158e523d054cedbc93b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "468cb22d63ab7b6dc72b0562b2eaede8944b929f781cdbbce04b385f7402f693",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-12-03T10:06:19Z",
    "title_canon_sha256": "2d3a61e4e9a77167b4ea6f2796acf74bcc20791a5eaabe0ca754099a0a0e5af5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0615",
    "kind": "arxiv",
    "version": 3
  }
}