Pith Number

pith:DUX3XKSQ

pith:2012:DUX3XKSQSGOJVWUDXIJVAYATXR

not attested not anchored not stored refs pending

Martingale Optimal Transport and Robust Hedging in Continuous Time

H. Mete Soner, Yan Dolinsky

arxiv:1208.4922 v4 · 2012-08-24 · 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{DUX3XKSQSGOJVWUDXIJVAYATXR}

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	2026-05-18T03:20:45.364555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d2fbbaa50919c9ada83ba13506013bc7a1fd71f926f8d9869ea89fe437aab2d

Aliases

arxiv: 1208.4922 · arxiv_version: 1208.4922v4 · doi: 10.48550/arxiv.1208.4922 · pith_short_12: DUX3XKSQSGOJ · pith_short_16: DUX3XKSQSGOJVWUD · pith_short_8: DUX3XKSQ

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/DUX3XKSQSGOJVWUDXIJVAYATXR \
  | 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: 1d2fbbaa50919c9ada83ba13506013bc7a1fd71f926f8d9869ea89fe437aab2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fae375413b8474afbe0c68d2ba894aaf1e8baae041b5c3c6cf4b2e0b228b532",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-24T08:35:43Z",
    "title_canon_sha256": "521c6c2b151d5f5702a58d2061ec3f3c1c32b2daaac951ed5da836f1e29fef34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4922",
    "kind": "arxiv",
    "version": 4
  }
}