Pith Number

pith:6YWBO6NI

pith:2009:6YWBO6NIAM7NYDCXK2H4GQMJQJ

not attested not anchored not stored refs pending

A regularity lemma, and low-weight approximators, for low-degree polynomial threshold functions

Andrew Wan, Ilias Diakonikolas, Li-Yang Tan, Rocco A. Servedio

arxiv:0909.4727 v2 · 2009-09-25 · cs.CC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6YWBO6NIAM7NYDCXK2H4GQMJQJ}

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	2026-05-18T02:24:47.065704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f62c1779a8033edc0c57568fc3418982674a95013528c90c45950a83a7ed2790

Aliases

arxiv: 0909.4727 · arxiv_version: 0909.4727v2 · doi: 10.48550/arxiv.0909.4727 · pith_short_12: 6YWBO6NIAM7N · pith_short_16: 6YWBO6NIAM7NYDCX · pith_short_8: 6YWBO6NI

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/6YWBO6NIAM7NYDCXK2H4GQMJQJ \
  | 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: f62c1779a8033edc0c57568fc3418982674a95013528c90c45950a83a7ed2790

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d830fa3ee422a58c7bed4cb7e4ab372c030a888db291fffb49461b23d0f67b0",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2009-09-25T15:54:33Z",
    "title_canon_sha256": "08bb94054fad0edf6a4065faba42da24933c72cfe27a22f1402d0504815a374d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4727",
    "kind": "arxiv",
    "version": 2
  }
}