Pith Number

pith:4WLIO2F5

pith:2014:4WLIO2F5BV7TCH7LNBCEH7BMCM

not attested not anchored not stored refs pending

Weighted Polynomial Approximations: Limits for Learning and Pseudorandomness

Mark Bun, Thomas Steinke

arxiv:1412.2457 v1 · 2014-12-08 · cs.CC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WLIO2F5BV7TCH7LNBCEH7BMCM}

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	2026-05-18T02:31:57.930648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5968768bd0d7f311feb684443fc2c1339b50a49a4bc248e919e356a38f6994f

Aliases

arxiv: 1412.2457 · arxiv_version: 1412.2457v1 · doi: 10.48550/arxiv.1412.2457 · pith_short_12: 4WLIO2F5BV7T · pith_short_16: 4WLIO2F5BV7TCH7L · pith_short_8: 4WLIO2F5

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/4WLIO2F5BV7TCH7LNBCEH7BMCM \
  | 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: e5968768bd0d7f311feb684443fc2c1339b50a49a4bc248e919e356a38f6994f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7956f49b6fe7e283bf4c689af761fe79cf60b2b292523cf2a684575e554bf7c8",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-12-08T05:58:56Z",
    "title_canon_sha256": "5366a11f6c58b4a561780577dc18c366beccd7478cbb89e065dcbe65a1a005a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2457",
    "kind": "arxiv",
    "version": 1
  }
}