Pith Number

pith:AIYIRFMD

pith:2026:AIYIRFMDJO3JMKCJL3LOHBTWAL

not attested not anchored not stored refs pending

Fundamental limits of distributed multiclass classification from simple binary decisions

Ayalvadi Ganesh, Ioannis Papageorgiou, Parimal Parag, Sidharth Jaggi, Srinivas Nomula

arxiv:2607.19334 v1 · 2026-07-21 · stat.ML · cs.IT · cs.LG · 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{AIYIRFMDJO3JMKCJL3LOHBTWAL}

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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	2026-07-22T01:24:37.618751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02308895834bb69628495ed6e3867602c013186cebe542537cde2c0e5612de3b

Aliases

arxiv: 2607.19334 · arxiv_version: 2607.19334v1 · doi: 10.48550/arxiv.2607.19334 · pith_short_12: AIYIRFMDJO3J · pith_short_16: AIYIRFMDJO3JMKCJ · pith_short_8: AIYIRFMD

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/AIYIRFMDJO3JMKCJL3LOHBTWAL \
  | 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: 02308895834bb69628495ed6e3867602c013186cebe542537cde2c0e5612de3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dfb058dd5397a2224c9aff407392aa953e7aaf78378a321eb3822a295b9d895",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-21T17:53:44Z",
    "title_canon_sha256": "92fdd59fc7ca0f4500b3b747ef0396b485b78068a6700ccd9c6d775055f7a3da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19334",
    "kind": "arxiv",
    "version": 1
  }
}