Pith Number

pith:PYBUFYSH

pith:2016:PYBUFYSH5E7F463QN4IMMTJUMM

not attested not anchored not stored refs pending

Fully bilinear generic and lifted random processes comparisons

Mihailo Stojnic

arxiv:1612.08516 v1 · 2016-12-27 · math.PR · cs.IT · math.IT · 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{PYBUFYSH5E7F463QN4IMMTJUMM}

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

High-Dimensional Statistics: Reflections on Progress and Open Problems

Receipt and verification

First computed	2026-05-18T00:53:52.791090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e0342e247e93e5e7b706f10c64d34633e8e0469433570407ed210b71f5823b8

Aliases

arxiv: 1612.08516 · arxiv_version: 1612.08516v1 · doi: 10.48550/arxiv.1612.08516 · pith_short_12: PYBUFYSH5E7F · pith_short_16: PYBUFYSH5E7F463Q · pith_short_8: PYBUFYSH

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/PYBUFYSH5E7F463QN4IMMTJUMM \
  | 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: 7e0342e247e93e5e7b706f10c64d34633e8e0469433570407ed210b71f5823b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac888d18f756eeb918c8f04040c25fbf435c2d10c5baf49413d065f071463fd5",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-27T07:03:29Z",
    "title_canon_sha256": "28abf58e310f0263b3dca727ea26b8eda0deab3d492fd40bc84935a2a0027f65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08516",
    "kind": "arxiv",
    "version": 1
  }
}