Pith Number

pith:YHMLNXB4

pith:2015:YHMLNXB4RM2CK27WAJX7BMGP2R

not attested not anchored not stored refs pending

Optimal Skorokhod embedding given full marginals and Azema-Yor peacocks

Nizar Touzi, Sigrid Kallblad, Xiaolu Tan

arxiv:1503.00500 v1 · 2015-03-02 · math.PR · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHMLNXB4RM2CK27WAJX7BMGP2R}

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	2026-05-18T02:25:54.330521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1d8b6dc3c8b34256bf6026ff0b0cfd45cd15c588c3400e71374975704bdc8e8

Aliases

arxiv: 1503.00500 · arxiv_version: 1503.00500v1 · doi: 10.48550/arxiv.1503.00500 · pith_short_12: YHMLNXB4RM2C · pith_short_16: YHMLNXB4RM2CK27W · pith_short_8: YHMLNXB4

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/YHMLNXB4RM2CK27WAJX7BMGP2R \
  | 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: c1d8b6dc3c8b34256bf6026ff0b0cfd45cd15c588c3400e71374975704bdc8e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1c0952273efbc30c43060ef49a77a61a2c67bf7f579c15316d3ce04a941699b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-02T12:38:34Z",
    "title_canon_sha256": "89647f78a3baa9578ee748d7e636012e06ced7175c972ed771ec4ed68ca14b81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00500",
    "kind": "arxiv",
    "version": 1
  }
}