Pith Number

pith:N57NBHGB

pith:2016:N57NBHGB36QGGDAH2VK7F6XSU6

not attested not anchored not stored refs pending

The weight distribution of the self-dual $[128,64]$ polarity design code

Ethan Novak, Masaaki Harada, Vladimir D. Tonchev

arxiv:1602.04661 v1 · 2016-02-15 · math.CO · 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{N57NBHGB36QGGDAH2VK7F6XSU6}

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	2026-05-18T01:08:32.346077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f7ed09cc1dfa0630c07d555f2faf2a79170a936138ed1e03cdc40e020efe746

Aliases

arxiv: 1602.04661 · arxiv_version: 1602.04661v1 · doi: 10.48550/arxiv.1602.04661 · pith_short_12: N57NBHGB36QG · pith_short_16: N57NBHGB36QGGDAH · pith_short_8: N57NBHGB

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/N57NBHGB36QGGDAH2VK7F6XSU6 \
  | 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: 6f7ed09cc1dfa0630c07d555f2faf2a79170a936138ed1e03cdc40e020efe746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f503e8bd1fb7b00a40965111f13d24b3eb55bb173d2b40865c63116597ff4132",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-15T13:01:22Z",
    "title_canon_sha256": "47cfffac16697c4b3630c77dec6006d73d55bc2e61165ccc4aabe381c5da2da9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04661",
    "kind": "arxiv",
    "version": 1
  }
}