Pith Number

pith:XZWIY4YJ

pith:2018:XZWIY4YJ3ZBGXB6L7Z2KGUH3SX

not attested not anchored not stored refs pending

Capacity lower bound for the Ising perceptron

Jian Ding, Nike Sun

arxiv:1809.07742 v1 · 2018-09-20 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZWIY4YJ3ZBGXB6L7Z2KGUH3SX}

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	2026-05-18T00:05:15.276666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be6c8c7309de426b87cbfe74a350fb95cc9d6a4763a56a75367a237bfbb3b546

Aliases

arxiv: 1809.07742 · arxiv_version: 1809.07742v1 · doi: 10.48550/arxiv.1809.07742 · pith_short_12: XZWIY4YJ3ZBG · pith_short_16: XZWIY4YJ3ZBGXB6L · pith_short_8: XZWIY4YJ

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/XZWIY4YJ3ZBGXB6L7Z2KGUH3SX \
  | 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: be6c8c7309de426b87cbfe74a350fb95cc9d6a4763a56a75367a237bfbb3b546

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "799ce440f0d333f341255a318915a23e43fdea7eb6e83440949457bcf7b6f96e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-20T17:14:51Z",
    "title_canon_sha256": "719c012dc8081fbae7f9049a12b93ff7945ab7768bc70c50d2cb2fe4ccbe7aab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07742",
    "kind": "arxiv",
    "version": 1
  }
}