Pith Number

pith:X6ZJAGJK

pith:2013:X6ZJAGJKNOR4RCEAIADZBPFRQP

not attested not anchored not stored refs pending

Negative spherical perceptron

Mihailo Stojnic

arxiv:1306.3980 v1 · 2013-06-17 · 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{X6ZJAGJKNOR4RCEAIADZBPFRQP}

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	2026-05-18T03:20:36.178221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfb290192a6ba3c88880400790bcb183f99f9e5c673328cbcc69ed0350a8ba4b

Aliases

arxiv: 1306.3980 · arxiv_version: 1306.3980v1 · doi: 10.48550/arxiv.1306.3980 · pith_short_12: X6ZJAGJKNOR4 · pith_short_16: X6ZJAGJKNOR4RCEA · pith_short_8: X6ZJAGJK

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/X6ZJAGJKNOR4RCEAIADZBPFRQP \
  | 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: bfb290192a6ba3c88880400790bcb183f99f9e5c673328cbcc69ed0350a8ba4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ff9bc8156e8713fe6d6c58d712facfca882f81267de48bfa81310a08fd09148",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-17T10:49:36Z",
    "title_canon_sha256": "8ef7a3f4db1e2a9867369e5d21971ee8731ad1601671c3f1b7fc42f0794fc0ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3980",
    "kind": "arxiv",
    "version": 1
  }
}