Pith Number

pith:CXOUDH3D

pith:2022:CXOUDH3DIQPMDAWJ545NU2UT6D

not attested not anchored not stored refs pending

Functional Expansions

Bruno Dupire, Valentin Tissot-Daguette

arxiv:2212.13628 v2 · 2022-12-27 · q-fin.MF · math.FA · q-fin.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{CXOUDH3DIQPMDAWJ545NU2UT6D}

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.

Cited by

4 papers in Pith

Signature Methods for Optimal Market Making

Affine Structure of the Brownian Signature

Unbiased Rough Integrators and No Free Lunch in Rough-Path-Based Market Models

Malliavin calculus for signatures with applications to finance

Receipt and verification

First computed	2026-07-05T05:47:20.759279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15dd419f63441ec182c9ef3ada6a93f0dbbb866b78cc9d795309a69dacc114a4

Aliases

arxiv: 2212.13628 · arxiv_version: 2212.13628v2 · doi: 10.48550/arxiv.2212.13628 · pith_short_12: CXOUDH3DIQPM · pith_short_16: CXOUDH3DIQPMDAWJ · pith_short_8: CXOUDH3D

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/CXOUDH3DIQPMDAWJ545NU2UT6D \
  | 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: 15dd419f63441ec182c9ef3ada6a93f0dbbb866b78cc9d795309a69dacc114a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e43b1234622fb0f994240fb0d1ea796da972d3c9ab16c07dd01abf21a55c6d4a",
    "cross_cats_sorted": [
      "math.FA",
      "q-fin.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2022-12-27T21:58:18Z",
    "title_canon_sha256": "ce1f627a06bb5966c485aade0105fe792cd4f30465d74d963b61a8300ffe7dac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.13628",
    "kind": "arxiv",
    "version": 2
  }
}