Pith Number

pith:W4SNZVPR

pith:2026:W4SNZVPROCOC2HKF2H7YVKF6TI

not attested not anchored not stored refs pending

Dynamic $e$-closure for online hypotheses with any-time-valid evidence: closure principles and projective mergers

Rianne de Heide

arxiv:2608.09927 v1 · 2026-08-10 · math.ST · stat.ME · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4SNZVPROCOC2HKF2H7YVKF6TI}

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	2026-08-11T02:25:28.685492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b724dcd5f1709c2d1d45d1ff8aa8be9a203538690d209fe36d99cf73b63474a7

Aliases

arxiv: 2608.09927 · arxiv_version: 2608.09927v1 · doi: 10.48550/arxiv.2608.09927 · pith_short_12: W4SNZVPROCOC · pith_short_16: W4SNZVPROCOC2HKF · pith_short_8: W4SNZVPR

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/W4SNZVPROCOC2HKF2H7YVKF6TI \
  | 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: b724dcd5f1709c2d1d45d1ff8aa8be9a203538690d209fe36d99cf73b63474a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b47a977a430034f5c393a9cd273525423927bd0cbf5b4afe6a7200ab60d8efa",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-08-10T17:59:20Z",
    "title_canon_sha256": "d2aca36553f714c76cb1741ca98a26e50425fdd66d267bcefe07de5a70fcfa99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09927",
    "kind": "arxiv",
    "version": 1
  }
}