Pith Number

pith:ZKR2VGCH

pith:2026:ZKR2VGCH2OXOTAGBHSPLNIXVTM

not attested not anchored not stored refs pending

Consistent pricing of bivariate interest rate exotics via constrained Schr\"odinger optimal transport

Patrick Roome

arxiv:2607.15952 v1 · 2026-07-17 · 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{ZKR2VGCH2OXOTAGBHSPLNIXVTM}

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	2026-07-20T01:19:19.924658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caa3aa9847d3aee980c13c9eb6a2f59b36b9153e3bf4f99913f77d5c30f95597

Aliases

arxiv: 2607.15952 · arxiv_version: 2607.15952v1 · doi: 10.48550/arxiv.2607.15952 · pith_short_12: ZKR2VGCH2OXO · pith_short_16: ZKR2VGCH2OXOTAGB · pith_short_8: ZKR2VGCH

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/ZKR2VGCH2OXOTAGBHSPLNIXVTM \
  | 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: caa3aa9847d3aee980c13c9eb6a2f59b36b9153e3bf4f99913f77d5c30f95597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eefff47bbee012a5dbcf69e586d59ded6300ac552e0d7a214932eac462d36589",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2026-07-17T13:38:08Z",
    "title_canon_sha256": "d433416a2cbbe4ee6c46c727d9ea1ac8b6d07ffd1de4401f4be77b1429a16966"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15952",
    "kind": "arxiv",
    "version": 1
  }
}