Pith Number

pith:KWRMQFK4

pith:2013:KWRMQFK4UCTFHAV22FZ53HKN67

not attested not anchored not stored refs pending

On the second Hamming weight of some Reed-Muller type codes

Cicero Carvalho

arxiv:1306.4727 v2 · 2013-06-20 · cs.IT · math.AC · 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{KWRMQFK4UCTFHAV22FZ53HKN67}

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	2026-05-18T03:15:05.720827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55a2c8155ca0a65382bad173dd9d4df7eab951556afbc83445799053bfdbead2

Aliases

arxiv: 1306.4727 · arxiv_version: 1306.4727v2 · doi: 10.48550/arxiv.1306.4727 · pith_short_12: KWRMQFK4UCTF · pith_short_16: KWRMQFK4UCTFHAV2 · pith_short_8: KWRMQFK4

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/KWRMQFK4UCTFHAV22FZ53HKN67 \
  | 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: 55a2c8155ca0a65382bad173dd9d4df7eab951556afbc83445799053bfdbead2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5563849a1f54543e9dac9cc477805b01e3cb5c82f6f2bffd6f15050ef37bbda",
    "cross_cats_sorted": [
      "math.AC",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-06-20T01:21:55Z",
    "title_canon_sha256": "0b55013ad57f88b154ebb7ba01196ccf7a4fe590e0f92308662a3b18eb1fa29a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4727",
    "kind": "arxiv",
    "version": 2
  }
}