Pith Number

pith:BZPRFW7P

pith:2018:BZPRFW7PDENPVFTEGMYLZ5Y7CL

not attested not anchored not stored refs pending

On the Bias of Reed-Muller Codes over Odd Prime Fields

Paul Beame, Shayan Oveis Gharan, Xin Yang

arxiv:1806.06973 v1 · 2018-06-18 · cs.DM · cs.CC · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZPRFW7PDENPVFTEGMYLZ5Y7CL}

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	2026-05-18T00:12:57.890648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e5f12dbef191afa96643330bcf71f12eccb8c253c57014fdd1a9b4e34ce69d6

Aliases

arxiv: 1806.06973 · arxiv_version: 1806.06973v1 · doi: 10.48550/arxiv.1806.06973 · pith_short_12: BZPRFW7PDENP · pith_short_16: BZPRFW7PDENPVFTE · pith_short_8: BZPRFW7P

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/BZPRFW7PDENPVFTEGMYLZ5Y7CL \
  | 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: 0e5f12dbef191afa96643330bcf71f12eccb8c253c57014fdd1a9b4e34ce69d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aa73fd3ad5bc77c69724e1f8b267487bd739048045edb1c224ce0411b20910d",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-06-18T22:35:18Z",
    "title_canon_sha256": "c561cfbda4617cb4aa9b4b6dd0a405feee8bb9294b9ec5aac4d5a6ff11bca519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06973",
    "kind": "arxiv",
    "version": 1
  }
}