Pith Number

pith:IM2EXYGK

pith:2016:IM2EXYGKMVAV5KXWZJ4DUDZ34Z

not attested not anchored not stored refs pending

The Fatou Closedness under Model Uncertainty

Gregor Svindland, Marco Maggis, Thilo Meyer-Brandis

arxiv:1610.04085 v6 · 2016-10-13 · math.FA · math.PR · 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{IM2EXYGKMVAV5KXWZJ4DUDZ34Z}

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	2026-05-18T00:03:41.921867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43344be0ca65415eaaf6ca783a0f3be673d0d91aa70c91a1295faf42fcf9743b

Aliases

arxiv: 1610.04085 · arxiv_version: 1610.04085v6 · doi: 10.48550/arxiv.1610.04085 · pith_short_12: IM2EXYGKMVAV · pith_short_16: IM2EXYGKMVAV5KXW · pith_short_8: IM2EXYGK

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/IM2EXYGKMVAV5KXWZJ4DUDZ34Z \
  | 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: 43344be0ca65415eaaf6ca783a0f3be673d0d91aa70c91a1295faf42fcf9743b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6bc9444e9e4388211d65c938f940743708c7b7d5548e7fde2369347a4d3b0ac",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-10-13T14:01:25Z",
    "title_canon_sha256": "9fd0887e29a75d43e322115d0945022b5e60577160c8b0dceab64be1451c29c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04085",
    "kind": "arxiv",
    "version": 6
  }
}