Pith Number

pith:NZVUIBSP

pith:2013:NZVUIBSP6GWC7DM5DWDTACRBMB

not attested not anchored not stored refs pending

On lower and upper bounds for Asian-type options: a unified approach

Alexander Novikov, Nino Kordzakhia

arxiv:1309.2383 v1 · 2013-09-10 · q-fin.PR

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZVUIBSP6GWC7DM5DWDTACRBMB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:13:44.832174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e6b44064ff1ac2f8d9d1d87300a21605a61f9ecc5d3364c92b015486f0631a0

Aliases

arxiv: 1309.2383 · arxiv_version: 1309.2383v1 · doi: 10.48550/arxiv.1309.2383 · pith_short_12: NZVUIBSP6GWC · pith_short_16: NZVUIBSP6GWC7DM5 · pith_short_8: NZVUIBSP

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/NZVUIBSP6GWC7DM5DWDTACRBMB \
  | 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: 6e6b44064ff1ac2f8d9d1d87300a21605a61f9ecc5d3364c92b015486f0631a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "415f96b6ee3817acbff1f040b074679abdd9974849dd977b90ee9c0c853479e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2013-09-10T06:11:11Z",
    "title_canon_sha256": "f8d85b8d9c8fa44079c29ee8232937ab984eb0dabafc694fb29135344156e608"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2383",
    "kind": "arxiv",
    "version": 1
  }
}