Pith Number

pith:PMYDXC3I

pith:2021:PMYDXC3IGKCXDVJRDSOSGBCG4X

not attested not anchored not stored refs pending

Estimating the probability that a given vector is in the convex hull of a random sample

Harald Oberhauser, Satoshi Hayakawa, Terry Lyons

arxiv:2101.04250 v2 · 2021-01-12 · math.PR · math.ST · 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{PMYDXC3IGKCXDVJRDSOSGBCG4X}

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.

Cited by

1 paper in Pith

Error exponents for tripartite-to-bipartite entanglement transformations

Receipt and verification

First computed	2026-07-05T05:31:41.715949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b303b8b68328571d5311c9d230446e5d9d1729a523b8ebfb4a9f136e537aed8

Aliases

arxiv: 2101.04250 · arxiv_version: 2101.04250v2 · doi: 10.48550/arxiv.2101.04250 · pith_short_12: PMYDXC3IGKCX · pith_short_16: PMYDXC3IGKCXDVJR · pith_short_8: PMYDXC3I

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/PMYDXC3IGKCXDVJRDSOSGBCG4X \
  | 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: 7b303b8b68328571d5311c9d230446e5d9d1729a523b8ebfb4a9f136e537aed8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d96193d17a8c12dd80ee6b85defd606c528447980baef69919d1aa21542733d1",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-01-12T01:00:21Z",
    "title_canon_sha256": "c802fe644a05754bde48dab60d35756359811d8b372836d1813c273b7060826e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.04250",
    "kind": "arxiv",
    "version": 2
  }
}