Pith Number

pith:24MM3UMC

pith:2010:24MM3UMCVGFYK7GA6GXYMLWGVN

not attested not anchored not stored refs pending

Normalization for Implied Volatility

Masaaki Fukasawa

arxiv:1008.5055 v2 · 2010-08-30 · q-fin.PR · 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{24MM3UMCVGFYK7GA6GXYMLWGVN}

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	2026-05-18T04:40:09.230274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d718cdd182a98b857cc0f1af862ec6ab54a18a2e5464ec2cea4deb90a5ebda22

Aliases

arxiv: 1008.5055 · arxiv_version: 1008.5055v2 · doi: 10.48550/arxiv.1008.5055 · pith_short_12: 24MM3UMCVGFY · pith_short_16: 24MM3UMCVGFYK7GA · pith_short_8: 24MM3UMC

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/24MM3UMCVGFYK7GA6GXYMLWGVN \
  | 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: d718cdd182a98b857cc0f1af862ec6ab54a18a2e5464ec2cea4deb90a5ebda22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a342dbd05e6ea4ddb7d78d1aea0f5efbc5002c7fd2ded76adbbb4e0a0c639b1",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2010-08-30T11:26:47Z",
    "title_canon_sha256": "4388dd8e03ccc9a4a9c9c5eb48726a1b5689c1d10646dd6f7bb57469ccb350b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5055",
    "kind": "arxiv",
    "version": 2
  }
}