Pith Number

pith:5KKWA3X4

pith:2024:5KKWA3X4LU5HEYPJUCWNT5XHDN

not attested not anchored not stored refs pending

The Gradient Flow of the Bass Functional in Martingale Optimal Transport

Gudmund Pammer, Julio Backhoff-Veraguas, Walter Schachermayer

arxiv:2407.18781 v1 · 2024-07-26 · 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{5KKWA3X4LU5HEYPJUCWNT5XHDN}

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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	2026-07-05T08:48:54.711871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea95606efc5d3a7261e9a0acd9f6e71b5090c166d883eecf1625057aa44551de

Aliases

arxiv: 2407.18781 · arxiv_version: 2407.18781v1 · doi: 10.48550/arxiv.2407.18781 · pith_short_12: 5KKWA3X4LU5H · pith_short_16: 5KKWA3X4LU5HEYPJ · pith_short_8: 5KKWA3X4

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/5KKWA3X4LU5HEYPJUCWNT5XHDN \
  | 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: ea95606efc5d3a7261e9a0acd9f6e71b5090c166d883eecf1625057aa44551de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fd29f3ea335b166a95107e6d688905d6a9d0b66af225204d60fe7e9f1f86475",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-07-26T14:42:17Z",
    "title_canon_sha256": "5b66faadf16f09fd12a08daafd5df2a6642b1f757f6761fc2c202f861ad565f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.18781",
    "kind": "arxiv",
    "version": 1
  }
}