Pith Number

pith:YOZN2H6F

pith:2023:YOZN2H6FUZNW5GVAZCAKBH22EX

not attested not anchored not stored refs pending

Binary perceptrons capacity via fully lifted random duality theory

Mihailo Stojnic

arxiv:2312.00073 v1 · 2023-11-29 · math.PR · cond-mat.dis-nn · cs.IT · math.IT · math.ST · stat.ML · 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{YOZN2H6FUZNW5GVAZCAKBH22EX}

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

Ultrametric OGP - parametric RDT \emph{symmetric} binary perceptron connection

Receipt and verification

First computed	2026-07-05T07:19:03.246710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3b2dd1fc5a65b6e9aa0c880a09f5a25dca2080c910eccdfca95f94b9d5416b4

Aliases

arxiv: 2312.00073 · arxiv_version: 2312.00073v1 · doi: 10.48550/arxiv.2312.00073 · pith_short_12: YOZN2H6FUZNW · pith_short_16: YOZN2H6FUZNW5GVA · pith_short_8: YOZN2H6F

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/YOZN2H6FUZNW5GVAZCAKBH22EX \
  | 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: c3b2dd1fc5a65b6e9aa0c880a09f5a25dca2080c910eccdfca95f94b9d5416b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4511ebf060427d872dc6a0dcace1df29f2e12695e9a1637b4b068d9ba391c271",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-11-29T22:22:32Z",
    "title_canon_sha256": "a4f939110d40ab354381f9f13d5be6036fcd8f6a11d994d626f8ead14145f05a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.00073",
    "kind": "arxiv",
    "version": 1
  }
}