Pith Number

pith:I6DKMPO7

pith:2010:I6DKMPO7RYKKMRY3HCJ326VASL

not attested not anchored not stored refs pending

Maximizing functionals of the maximum in the Skorokhod embedding problem and an application to variance swaps

David Hobson, Martin Klimmek

arxiv:1012.3909 v4 · 2010-12-17 · 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{I6DKMPO7RYKKMRY3HCJ326VASL}

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	2026-05-18T03:13:56.562006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4786a63ddf8e14a6471b3893bd7aa092f9f7ac9cee2a7d5d1547feeb7fac8dd9

Aliases

arxiv: 1012.3909 · arxiv_version: 1012.3909v4 · doi: 10.48550/arxiv.1012.3909 · pith_short_12: I6DKMPO7RYKK · pith_short_16: I6DKMPO7RYKKMRY3 · pith_short_8: I6DKMPO7

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/I6DKMPO7RYKKMRY3HCJ326VASL \
  | 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: 4786a63ddf8e14a6471b3893bd7aa092f9f7ac9cee2a7d5d1547feeb7fac8dd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2de8fd9bf1a17223c142c097c031a1c3ed20bdc353bca29f5dcb48158737b759",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-17T15:38:29Z",
    "title_canon_sha256": "c777b3a29d01dc43fad41fc9319376cd87bbf3fe7cd6afd980748a2a1b4378b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3909",
    "kind": "arxiv",
    "version": 4
  }
}