Pith Number

pith:4ZNOIJ24

pith:2015:4ZNOIJ24SOXK3PENO5Z3BAN2Q7

not attested not anchored not stored refs pending

Data driven recovery of local volatility surfaces

Jorge P. Zubelli, Uri M. Ascher, Vinicius Albani, Xu Yang

arxiv:1512.07660 v1 · 2015-12-23 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZNOIJ24SOXK3PENO5Z3BAN2Q7}

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	2026-05-18T01:23:48.849082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e65ae4275c93aeadbc8d7773b081ba87d17b9092e2ddb28dfe0d5ad60f6ef810

Aliases

arxiv: 1512.07660 · arxiv_version: 1512.07660v1 · doi: 10.48550/arxiv.1512.07660 · pith_short_12: 4ZNOIJ24SOXK · pith_short_16: 4ZNOIJ24SOXK3PEN · pith_short_8: 4ZNOIJ24

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/4ZNOIJ24SOXK3PENO5Z3BAN2Q7 \
  | 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: e65ae4275c93aeadbc8d7773b081ba87d17b9092e2ddb28dfe0d5ad60f6ef810

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f795aec31aeb3685780fe6cd8c071980df51f638c28a8634d6f4c54ebd95ccd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-12-23T23:09:02Z",
    "title_canon_sha256": "5059219b8724deac0b641b220afde88f0cb21b64a1f7dd23f9af69aa536c0cb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07660",
    "kind": "arxiv",
    "version": 1
  }
}