Pith Number

pith:GZL4P4MF

pith:2026:GZL4P4MF76CKZJ4QONBLSMUXE6

not attested not anchored not stored refs pending

Semimartingale Optimal Transport with Jumps: A General Framework and Equivalent Formulations

Boyi Hou, Zhenxin Liu

arxiv:2606.27078 v1 · 2026-06-25 · math.PR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZL4P4MF76CKZJ4QONBLSMUXE6}

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	2026-06-26T01:16:08.824976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3657c7f185ff84aca7907342b9329727a4ff2c46af4e2577e25c31168f446d84

Aliases

arxiv: 2606.27078 · arxiv_version: 2606.27078v1 · doi: 10.48550/arxiv.2606.27078 · pith_short_12: GZL4P4MF76CK · pith_short_16: GZL4P4MF76CKZJ4Q · pith_short_8: GZL4P4MF

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/GZL4P4MF76CKZJ4QONBLSMUXE6 \
  | 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: 3657c7f185ff84aca7907342b9329727a4ff2c46af4e2577e25c31168f446d84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a2b18cac88e957b18f68c9957bf21130e0bc7416cf3cb14955e380168ec0f83",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-25T14:18:51Z",
    "title_canon_sha256": "b57b135023fb73b2811f3e8c8a4ba9bd17f9facad849b4caa6271282494a1e78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27078",
    "kind": "arxiv",
    "version": 1
  }
}