Pith Number

pith:TKQYQMEL

pith:2026:TKQYQMELZHMX2FO7VSSTJYYE5K

not attested not anchored not stored refs pending

Model Risk via Signature-Induced Optimal Transport

Qijin Shi, Tomoyuki Ichiba

arxiv:2607.20343 v1 · 2026-07-22 · q-fin.RM · math.OC · 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{TKQYQMELZHMX2FO7VSSTJYYE5K}

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	2026-07-23T01:25:15.449118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aa188308bc9d97d15dfaca534e304ea90207ee8145a079d6a8df91996af4245

Aliases

arxiv: 2607.20343 · arxiv_version: 2607.20343v1 · doi: 10.48550/arxiv.2607.20343 · pith_short_12: TKQYQMELZHMX · pith_short_16: TKQYQMELZHMX2FO7 · pith_short_8: TKQYQMEL

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/TKQYQMELZHMX2FO7VSSTJYYE5K \
  | 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: 9aa188308bc9d97d15dfaca534e304ea90207ee8145a079d6a8df91996af4245

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f638dc09ad8154cceaecde45d66739d666592218636455d8fdfdc6f43a8ded4a",
    "cross_cats_sorted": [
      "math.OC",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2026-07-22T16:30:15Z",
    "title_canon_sha256": "d512aa76e6f4306bde63745160e50ca0ecaa79b9ec815f51110bed90e0e65a39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20343",
    "kind": "arxiv",
    "version": 1
  }
}