Pith Number

pith:OCUHVDPJ

pith:2026:OCUHVDPJNAICGCJG5BEPPMG2GV

not attested not anchored not stored refs pending

On the Structural Foundations of Signature Volatility Models: Existence, Arbitrage, Completeness, and the Hedging-Error Decomposition

Akmal Xodarev

arxiv:2605.17142 v1 · 2026-05-16 · q-fin.MF · 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{OCUHVDPJNAICGCJG5BEPPMG2GV}

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	2026-05-20T00:03:41.953274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70a87a8de96810230926e848f7b0da35771477a991c203e42ca85f4bae34ef8b

Aliases

arxiv: 2605.17142 · arxiv_version: 2605.17142v1 · doi: 10.48550/arxiv.2605.17142 · pith_short_12: OCUHVDPJNAIC · pith_short_16: OCUHVDPJNAICGCJG · pith_short_8: OCUHVDPJ

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/OCUHVDPJNAICGCJG5BEPPMG2GV \
  | 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: 70a87a8de96810230926e848f7b0da35771477a991c203e42ca85f4bae34ef8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9c61ee3a0fd1423485cef86c154699674fdd7b64749e402bef97b59ba63105e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2026-05-16T20:26:25Z",
    "title_canon_sha256": "60ce146d2f9178ea489a1deba48aca20f942cc23a047dc0261e877cbf4d9778e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17142",
    "kind": "arxiv",
    "version": 1
  }
}