Pith Number

pith:RHGH2R5P

pith:2015:RHGH2R5PE7CWZTW7WZFBZLPFXW

not attested not anchored not stored refs pending

Kolmogorov type and general extension results for nonlinear expectations

Max Nendel, Michael Kupper, Robert Denk

arxiv:1511.08726 v2 · 2015-11-27 · 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{RHGH2R5PE7CWZTW7WZFBZLPFXW}

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	2026-05-18T00:10:32.516835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89cc7d47af27c56ccedfb64a1cade5bd8587d16c241300a3b99a4b7d5105615c

Aliases

arxiv: 1511.08726 · arxiv_version: 1511.08726v2 · doi: 10.48550/arxiv.1511.08726 · pith_short_12: RHGH2R5PE7CW · pith_short_16: RHGH2R5PE7CWZTW7 · pith_short_8: RHGH2R5P

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/RHGH2R5PE7CWZTW7WZFBZLPFXW \
  | 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: 89cc7d47af27c56ccedfb64a1cade5bd8587d16c241300a3b99a4b7d5105615c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2921aa7d20524ced907df3b54d4e93f120a98b038f1743772f2ca3651cc17c57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-27T16:22:59Z",
    "title_canon_sha256": "944ca535f91c10639732a104e733720793cc484175b1bdb93e67ea338658f0a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08726",
    "kind": "arxiv",
    "version": 2
  }
}