Pith Number

pith:5NNZHC5U

pith:2014:5NNZHC5UWV6LBADOD75DJUTB6Z

not attested not anchored not stored refs pending

Change of numeraire in the two-marginals martingale transport problem

Claude Martini, Ismail Laachir, Luciano Campi

arxiv:1406.6951 v4 · 2014-06-26 · 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{5NNZHC5UWV6LBADOD75DJUTB6Z}

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	2026-05-18T01:19:48.740272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb5b938bb4b57cb0806e1ffa34d261f64ccfbec9582c1583ab0cd5b7a6c1c58f

Aliases

arxiv: 1406.6951 · arxiv_version: 1406.6951v4 · doi: 10.48550/arxiv.1406.6951 · pith_short_12: 5NNZHC5UWV6L · pith_short_16: 5NNZHC5UWV6LBADO · pith_short_8: 5NNZHC5U

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/5NNZHC5UWV6LBADOD75DJUTB6Z \
  | 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: eb5b938bb4b57cb0806e1ffa34d261f64ccfbec9582c1583ab0cd5b7a6c1c58f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "000c1a4fe6fba7241566feea23b9dae04ed1eb99b8ba153211d0f13931769256",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-26T17:33:01Z",
    "title_canon_sha256": "befdec3531364505bc9dadf17a9bc8c0c2ef2566263430d62a3d75936eb1a923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6951",
    "kind": "arxiv",
    "version": 4
  }
}