Pith Number

pith:3DAVCRAD

pith:2016:3DAVCRADOAU5MR5MKACWQSS3O7

not attested not anchored not stored refs pending

Distribution-Constrained Optimal Stopping

Christopher W. Miller, Erhan Bayraktar

arxiv:1604.03042 v5 · 2016-04-11 · math.OC · math.PR · 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{3DAVCRADOAU5MR5MKACWQSS3O7}

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	2026-05-18T00:40:51.759406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8c15144037029d647ac5005684a5b77d409afe00a297ff10ff67ba537b7373b

Aliases

arxiv: 1604.03042 · arxiv_version: 1604.03042v5 · doi: 10.48550/arxiv.1604.03042 · pith_short_12: 3DAVCRADOAU5 · pith_short_16: 3DAVCRADOAU5MR5M · pith_short_8: 3DAVCRAD

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/3DAVCRADOAU5MR5MKACWQSS3O7 \
  | 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: d8c15144037029d647ac5005684a5b77d409afe00a297ff10ff67ba537b7373b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb21707c1f88e62fd719f69382236f91344aa298776b46e2d15ceb683959940c",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-04-11T17:39:10Z",
    "title_canon_sha256": "ff1b16c2bf32d59f384e47184cbd6d66cefd17cb6adfbaba56225530c8d03369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03042",
    "kind": "arxiv",
    "version": 5
  }
}