Pith Number

pith:OHQHYSSS

pith:2009:OHQHYSSSFQLIPBRVAWLMBRKQOC

not attested not anchored not stored refs pending

On the structure of non-full-rank perfect codes

Denis Krotov (Sobolev Institute of Mathematics, KTH, Novosibirsk, Olof Heden (Department of Mathematics, Russia), Stockholm, Sweden)

arxiv:1001.0001 v1 · 2009-12-30 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHQHYSSSFQLIPBRVAWLMBRKQOC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:22:50.160045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71e07c4a522c168786350596c0c5507088396c02a606d6e222a7ff63a3bb7a59

Aliases

arxiv: 1001.0001 · arxiv_version: 1001.0001v1 · doi: 10.48550/arxiv.1001.0001 · pith_short_12: OHQHYSSSFQLI · pith_short_16: OHQHYSSSFQLIPBRV · pith_short_8: OHQHYSSS

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/OHQHYSSSFQLIPBRVAWLMBRKQOC \
  | 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: 71e07c4a522c168786350596c0c5507088396c02a606d6e222a7ff63a3bb7a59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "688a73433baf8a3c6583f3d4490b7e6bd6544fde9ecbd28095a4910a9707e5b4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-12-30T21:39:20Z",
    "title_canon_sha256": "24ed1f7bb3dd959312c0d434e0af378baba1eaa4a781e82654a4822d44d12725"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0001",
    "kind": "arxiv",
    "version": 1
  }
}