Pith Number

pith:VEKTYZGD

pith:2017:VEKTYZGDI6MXARDIDMZJ23Q4BW

not attested not anchored not stored refs pending

American options under periodic exercise opportunities

Jos\'e Luis P\'erez, Kazutoshi Yamazaki

arxiv:1708.04163 v2 · 2017-08-14 · 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{VEKTYZGDI6MXARDIDMZJ23Q4BW}

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	2026-05-18T00:27:19.215052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9153c64c347997044681b329d6e1c0daab6b7593e6eb95f464539f2005c2d1d

Aliases

arxiv: 1708.04163 · arxiv_version: 1708.04163v2 · doi: 10.48550/arxiv.1708.04163 · pith_short_12: VEKTYZGDI6MX · pith_short_16: VEKTYZGDI6MXARDI · pith_short_8: VEKTYZGD

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/VEKTYZGDI6MXARDIDMZJ23Q4BW \
  | 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: a9153c64c347997044681b329d6e1c0daab6b7593e6eb95f464539f2005c2d1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbab8ec54bef6ae4ccb5b043b748f517892d13490bdbaad9f7721bca82888385",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-14T14:58:30Z",
    "title_canon_sha256": "7002c346b40d03b4638ae698d002bc1d83c76db12daf09816a349b4ff86af0a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04163",
    "kind": "arxiv",
    "version": 2
  }
}