Pith Number

pith:5SSWGPGV

pith:2011:5SSWGPGVJTHUFR5O5KSOK3ZGHK

not attested not anchored not stored refs pending

Weak Approximation of G-Expectations

H. Mete Soner, Marcel Nutz, Yan Dolinsky

arxiv:1103.0575 v1 · 2011-03-02 · 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{5SSWGPGVJTHUFR5O5KSOK3ZGHK}

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	2026-05-18T04:27:27.763680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eca5633cd54ccf42c7aeeaa4e56f263aa8d7086c8f5836134573492397a9eb6f

Aliases

arxiv: 1103.0575 · arxiv_version: 1103.0575v1 · doi: 10.48550/arxiv.1103.0575 · pith_short_12: 5SSWGPGVJTHU · pith_short_16: 5SSWGPGVJTHUFR5O · pith_short_8: 5SSWGPGV

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/5SSWGPGVJTHUFR5O5KSOK3ZGHK \
  | 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: eca5633cd54ccf42c7aeeaa4e56f263aa8d7086c8f5836134573492397a9eb6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2741308cc147a4d31da00813c507a9553906fdda52b5a20489a6c451d18ecabb",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-02T23:14:06Z",
    "title_canon_sha256": "05317878945898bb8eb0bc9c182d55328712d7e950cb1a898d7444e4cd3cac96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0575",
    "kind": "arxiv",
    "version": 1
  }
}