Pith Number

pith:LFRQ464G

pith:2012:LFRQ464GWV3BH4UGRKXYNKPLW4

not attested not anchored not stored refs pending

Ranks of propelinear perfect binary codes

Faina I. Solov'eva, George K. Guskov, Ivan Yu. Mogilnykh

arxiv:1210.8253 v1 · 2012-10-31 · 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{LFRQ464GWV3BH4UGRKXYNKPLW4}

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	2026-05-18T03:41:55.554438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59630e7b86b57613f2868aaf86a9ebb73de723c8d5634422b252d639de6b35c1

Aliases

arxiv: 1210.8253 · arxiv_version: 1210.8253v1 · doi: 10.48550/arxiv.1210.8253 · pith_short_12: LFRQ464GWV3B · pith_short_16: LFRQ464GWV3BH4UG · pith_short_8: LFRQ464G

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/LFRQ464GWV3BH4UGRKXYNKPLW4 \
  | 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: 59630e7b86b57613f2868aaf86a9ebb73de723c8d5634422b252d639de6b35c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10e983618b980f54a1c1ed30ca4c28dd1023380dffdbad08de63593f27adda0f",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-31T07:46:55Z",
    "title_canon_sha256": "91c33626fcf2544d27f5a80c9e0fea446dc52e00ea08acb77687ec9110e01924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8253",
    "kind": "arxiv",
    "version": 1
  }
}