Pith Number

pith:ZZVOPAR3

pith:2014:ZZVOPAR32TSZJX5GQZ5KIIPCHK

not attested not anchored not stored refs pending

On the optimal exercise boundaries of swing put options

Tiziano De Angelis, Yerkin Kitapbayev

arxiv:1407.6860 v5 · 2014-07-25 · math.OC · math.PR · q-fin.MF · q-fin.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{ZZVOPAR32TSZJX5GQZ5KIIPCHK}

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	2026-05-18T00:53:12.662771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce6ae7823bd4e594dfa6867aa421e23a896d239f80c1b58f24f51cec8c2e8fed

Aliases

arxiv: 1407.6860 · arxiv_version: 1407.6860v5 · doi: 10.48550/arxiv.1407.6860 · pith_short_12: ZZVOPAR32TSZ · pith_short_16: ZZVOPAR32TSZJX5G · pith_short_8: ZZVOPAR3

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/ZZVOPAR32TSZJX5GQZ5KIIPCHK \
  | 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: ce6ae7823bd4e594dfa6867aa421e23a896d239f80c1b58f24f51cec8c2e8fed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f996846c188143aaa8e22fdce4c82cb96e392db8f3d3cd33ea191f0ce3247f48",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.MF",
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-07-25T11:52:13Z",
    "title_canon_sha256": "8a3dc60fc415c3e8871c0e35ae98c9a3fbfd5b67d720e4ead0e2bcde6141d307"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6860",
    "kind": "arxiv",
    "version": 5
  }
}