Pith Number

pith:TNFXKIVP

pith:2024:TNFXKIVPBLTWBVDLJPUAGCQXFO

not attested not anchored not stored refs pending

On the Martingale Schr\"odinger Bridge between Two Distributions

Johannes Wiesel, Marcel Nutz

arxiv:2401.05209 v2 · 2024-01-10 · math.PR · 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{TNFXKIVPBLTWBVDLJPUAGCQXFO}

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

1 paper in Pith

Projected McKean--Vlasov Dynamics for Entropic Weak Optimal Transport

Receipt and verification

First computed	2026-07-05T12:01:17.729124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b4b7522af0ae760d46b4be8030a172ba5e8f94b6b0bc3d1f8952ae8913eb599

Aliases

arxiv: 2401.05209 · arxiv_version: 2401.05209v2 · doi: 10.48550/arxiv.2401.05209 · pith_short_12: TNFXKIVPBLTW · pith_short_16: TNFXKIVPBLTWBVDL · pith_short_8: TNFXKIVP

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/TNFXKIVPBLTWBVDLJPUAGCQXFO \
  | 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: 9b4b7522af0ae760d46b4be8030a172ba5e8f94b6b0bc3d1f8952ae8913eb599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87aff7fa7b4fe0344fca3a65158122ced4ff6d58ef9f91fc1aa54cf42167768f",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-01-10T15:12:35Z",
    "title_canon_sha256": "a5bda91035ce8ddfa4c3e78a82f9632b59d095de5a92db18e3da4970fda98973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.05209",
    "kind": "arxiv",
    "version": 2
  }
}