Pith Number

pith:BIL36OFZ

pith:2014:BIL36OFZ5YU24HFZ3IZYVK4ABG

not attested not anchored not stored refs pending

Maximization of Functionals Depending on the Terminal Value and the Running Maximum of a Martingale: A Mass Transport Approach

Nikolay Lysenko

arxiv:1410.5334 v3 · 2014-10-20 · 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{BIL36OFZ5YU24HFZ3IZYVK4ABG}

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	2026-05-18T01:24:33.277056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a17bf38b9ee29ae1cb9da338aab800999151d4a941a2e15df171e3626fd5c02

Aliases

arxiv: 1410.5334 · arxiv_version: 1410.5334v3 · doi: 10.48550/arxiv.1410.5334 · pith_short_12: BIL36OFZ5YU2 · pith_short_16: BIL36OFZ5YU24HFZ · pith_short_8: BIL36OFZ

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/BIL36OFZ5YU24HFZ3IZYVK4ABG \
  | 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: 0a17bf38b9ee29ae1cb9da338aab800999151d4a941a2e15df171e3626fd5c02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "061ab03ea6298b95b8fad740c327c6b4679326af2d4c2414d34ca1643d835378",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-10-20T16:03:09Z",
    "title_canon_sha256": "5991d7e27b4699f5f3b490b37f93c444c4de4b8d2aa3593fb916a9f2b50ba32e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5334",
    "kind": "arxiv",
    "version": 3
  }
}