Pith Number

pith:7Z5CUCXX

pith:2023:7Z5CUCXXIMVCYIRKCPDRMDFPU2

not attested not anchored not stored refs pending

Existence of Bass martingales and the martingale Benamou$-$Brenier problem in $\mathbb{R}^{d}$

Bertram Tschiderer, Julio Backhoff-Veraguas, Mathias Beiglb\"ock, Walter Schachermayer

arxiv:2306.11019 v3 · 2023-06-19 · math.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{7Z5CUCXXIMVCYIRKCPDRMDFPU2}

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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

Bridging classical and martingale Schr\"odinger bridges

Receipt and verification

First computed	2026-07-05T10:41:09.863222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe7a2a0af7432a2c222a13c7160cafa6a23ac7cfff2d4773f9de92bd1371a83b

Aliases

arxiv: 2306.11019 · arxiv_version: 2306.11019v3 · doi: 10.48550/arxiv.2306.11019 · pith_short_12: 7Z5CUCXXIMVC · pith_short_16: 7Z5CUCXXIMVCYIRK · pith_short_8: 7Z5CUCXX

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/7Z5CUCXXIMVCYIRKCPDRMDFPU2 \
  | 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: fe7a2a0af7432a2c222a13c7160cafa6a23ac7cfff2d4773f9de92bd1371a83b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f922bc45ad7bfb70d057c5d875bd8ce9722ac206ab26948e789e5262d2432a76",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-06-19T15:31:15Z",
    "title_canon_sha256": "c5ac994ea929efd1c518b4b975f8ca4988fd7440359d011f420be71b1f28d237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.11019",
    "kind": "arxiv",
    "version": 3
  }
}