Pith Number

pith:CUBS4T5B

pith:2015:CUBS4T5BGFA4ERP7FDQFWFRW6T

not attested not anchored not stored refs pending

Polynomially Low Error PCPs with polyloglog n Queries via Modular Composition

Guy Kindler, Irit Dinur, Prahladh Harsha

arxiv:1505.06362 v1 · 2015-05-23 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUBS4T5BGFA4ERP7FDQFWFRW6T}

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	2026-05-18T00:03:59.532648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15032e4fa13141c245ff28e05b1636f4ee0d0462f59380fcfa4bee6be64c33cc

Aliases

arxiv: 1505.06362 · arxiv_version: 1505.06362v1 · doi: 10.48550/arxiv.1505.06362 · pith_short_12: CUBS4T5BGFA4 · pith_short_16: CUBS4T5BGFA4ERP7 · pith_short_8: CUBS4T5B

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/CUBS4T5BGFA4ERP7FDQFWFRW6T \
  | 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: 15032e4fa13141c245ff28e05b1636f4ee0d0462f59380fcfa4bee6be64c33cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed4b51cd3726d3982ca732f632749aa995727660af385584c00673f3dbcef7dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-05-23T18:56:33Z",
    "title_canon_sha256": "9759177cb6d8922de7c686a6f4f3ffabfd94d169f2fccd5a6dbd3b968d557779"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06362",
    "kind": "arxiv",
    "version": 1
  }
}