Pith Number

pith:ZW2CRGUA

pith:2015:ZW2CRGUAQAGG7HJWQJ63CHAOW7

not attested not anchored not stored refs pending

On the Stabilizer of Weight Enumerators of Linear Codes

Martino Borello, Olivier Mila

arxiv:1511.00803 v2 · 2015-11-03 · cs.IT · math.CO · 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{ZW2CRGUAQAGG7HJWQJ63CHAOW7}

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	2026-05-18T00:41:02.359816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdb4289a80800c6f9d36827db11c0eb7c59e2993a51ff8838a69229a8ea1c997

Aliases

arxiv: 1511.00803 · arxiv_version: 1511.00803v2 · doi: 10.48550/arxiv.1511.00803 · pith_short_12: ZW2CRGUAQAGG · pith_short_16: ZW2CRGUAQAGG7HJW · pith_short_8: ZW2CRGUA

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/ZW2CRGUAQAGG7HJWQJ63CHAOW7 \
  | 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: cdb4289a80800c6f9d36827db11c0eb7c59e2993a51ff8838a69229a8ea1c997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a247aa212c58a139dc69c48a7221fb373406f987b14a7aa1fe50051d29110ad",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-03T07:43:46Z",
    "title_canon_sha256": "651aecd908e1a9d3004b38095b62ee0e524ce027435678d90eef3f6437edb204"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00803",
    "kind": "arxiv",
    "version": 2
  }
}