Pith Number

pith:WW54SWXK

pith:2016:WW54SWXKWTMI6HKLV3MSP2ZCGE

not attested not anchored not stored refs pending

Heat Kernels, Solvable Lie Groups, and the Mean Reverting SABR Stochastic Volatility Model

Anna L. Mazzucato, Siyan Zhang, Victor Nistor

arxiv:1605.03097 v1 · 2016-05-10 · math.AP · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WW54SWXKWTMI6HKLV3MSP2ZCGE}

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	2026-05-18T01:15:07.608740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5bbc95aeab4d88f1d4baed927eb22311ad0af68e703a422aaa183f7b07cfea8

Aliases

arxiv: 1605.03097 · arxiv_version: 1605.03097v1 · doi: 10.48550/arxiv.1605.03097 · pith_short_12: WW54SWXKWTMI · pith_short_16: WW54SWXKWTMI6HKL · pith_short_8: WW54SWXK

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/WW54SWXKWTMI6HKLV3MSP2ZCGE \
  | 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: b5bbc95aeab4d88f1d4baed927eb22311ad0af68e703a422aaa183f7b07cfea8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47e6671afc5dffac9d374ea93fb35133387a6e4b0a5c9f31931806073a1bd55c",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-10T16:48:04Z",
    "title_canon_sha256": "337c32bf971a26d2448bbc4e7cfaa82f8aa72345f64d49201b733add6495f551"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03097",
    "kind": "arxiv",
    "version": 1
  }
}