Pith Number

pith:S4DNSMLE

pith:2025:S4DNSMLEEVFIPQMMVADBQ2SA5X

not attested not anchored not stored refs pending

Remarks on multi-period martingale optimal transport

Brendan Pass, Joshua Hiew

arxiv:2506.05505 v1 · 2025-06-05 · math.OC · 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{S4DNSMLEEVFIPQMMVADBQ2SA5X}

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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.

Receipt and verification

First computed	2026-07-05T11:17:04.000666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9706d93164254a87c18ca806186a40edfdbd3c2bbb912ca53af7ccf108a63680

Aliases

arxiv: 2506.05505 · arxiv_version: 2506.05505v1 · doi: 10.48550/arxiv.2506.05505 · pith_short_12: S4DNSMLEEVFI · pith_short_16: S4DNSMLEEVFIPQMM · pith_short_8: S4DNSMLE

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/S4DNSMLEEVFIPQMMVADBQ2SA5X \
  | 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: 9706d93164254a87c18ca806186a40edfdbd3c2bbb912ca53af7ccf108a63680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fa3a44e4f77da2fa57a71bd0be08c9e0a28507861277da3ae627cbbb785eb8a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-05T18:45:27Z",
    "title_canon_sha256": "7ed75df78c43e90fad6912255b83359c9276c5ae0bbd681059a1ff3499f78f47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05505",
    "kind": "arxiv",
    "version": 1
  }
}