Pith Number

pith:YJ4PLOQF

pith:2017:YJ4PLOQFGFZMVUKZ7FPR6U4ZAE

not attested not anchored not stored refs pending

Geometry Of The Expected Value Set And The Set-Valued Sample Mean Process

Alois Pichler

arxiv:1708.05735 v1 · 2017-08-18 · 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{YJ4PLOQFGFZMVUKZ7FPR6U4ZAE}

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	2026-05-18T00:37:44.481082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c278f5ba053172cad159f95f1f53990105f4213f943ccb6e0a18aeb8e9e9a982

Aliases

arxiv: 1708.05735 · arxiv_version: 1708.05735v1 · doi: 10.48550/arxiv.1708.05735 · pith_short_12: YJ4PLOQFGFZM · pith_short_16: YJ4PLOQFGFZMVUKZ · pith_short_8: YJ4PLOQF

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/YJ4PLOQFGFZMVUKZ7FPR6U4ZAE \
  | 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: c278f5ba053172cad159f95f1f53990105f4213f943ccb6e0a18aeb8e9e9a982

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "043c5d4b8da4c8f65bbd7393fe57330b1e7d976bb86c9af935fb5ac104a70273",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-18T18:53:49Z",
    "title_canon_sha256": "ec9c052c437bfb5d198726947e455ebc14e48a74bc53b77dd65bf4f5af7f53a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05735",
    "kind": "arxiv",
    "version": 1
  }
}