Pith Number

pith:F67TRITT

pith:2019:F67TRITT7KA2ANSUTWHQ2RU6EH

not attested not anchored not stored refs pending

Fine Properties of the Optimal Skorokhod Embedding Problem

Florian Stebegg, Marcel Nutz, Mathias Beiglb\"ock

arxiv:1903.03887 v2 · 2019-03-09 · math.PR · math.OC · 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{F67TRITT7KA2ANSUTWHQ2RU6EH}

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.

Cited by

1 paper in Pith

A General Aubry-Mather Theory

Receipt and verification

First computed	2026-07-05T00:54:44.963525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fbf38a273fa81a036549d8f0d469e21f00bc9bda6a52349cadcccb84f2ecbe5

Aliases

arxiv: 1903.03887 · arxiv_version: 1903.03887v2 · doi: 10.48550/arxiv.1903.03887 · pith_short_12: F67TRITT7KA2 · pith_short_16: F67TRITT7KA2ANSU · pith_short_8: F67TRITT

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/F67TRITT7KA2ANSUTWHQ2RU6EH \
  | 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: 2fbf38a273fa81a036549d8f0d469e21f00bc9bda6a52349cadcccb84f2ecbe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7ef7185ea38f5e0175c15174a388d8320d96681778418930e81e5de492b2c41",
    "cross_cats_sorted": [
      "math.OC",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-03-09T23:14:44Z",
    "title_canon_sha256": "f4074e906d261e67ec4d6f1b3c37cb251f59ad2d0829e03984365b7395144553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03887",
    "kind": "arxiv",
    "version": 2
  }
}