Pith Number

pith:6EMP7BGN

pith:2012:6EMP7BGNLINIPX7XAY6W5MKWFR

not attested not anchored not stored refs pending

Optimum Subcodes of Self-Dual Codes and Their Optimum Distance Profiles

Finley Freibert, Jon-Lark Kim

arxiv:1203.1527 v4 · 2012-03-07 · 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{6EMP7BGNLINIPX7XAY6W5MKWFR}

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	2026-05-18T03:42:44.513814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f118ff84cd5a1a87dff7063d6eb1562c570f1a6abfb250de72ae99183ba2b890

Aliases

arxiv: 1203.1527 · arxiv_version: 1203.1527v4 · doi: 10.48550/arxiv.1203.1527 · pith_short_12: 6EMP7BGNLINI · pith_short_16: 6EMP7BGNLINIPX7X · pith_short_8: 6EMP7BGN

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/6EMP7BGNLINIPX7XAY6W5MKWFR \
  | 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: f118ff84cd5a1a87dff7063d6eb1562c570f1a6abfb250de72ae99183ba2b890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf1b694d63a53083290e752bf8364b7e13cdc1b5608e1817e2ac302357700ead",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-03-07T16:34:21Z",
    "title_canon_sha256": "a591877fcab7eb99dc351f81ae66ca7a516bc5e027eccfb6b12fd25ca5f8b065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1527",
    "kind": "arxiv",
    "version": 4
  }
}