Pith Number

pith:556EME3M

pith:2012:556EME3MKITYUOKW5WIXZTDJQZ

not attested not anchored not stored refs pending

Propelinear 1-perfect codes from quadratic functions

Denis Krotov (Sobolev Institute of Mathematics, Novosibirsk, Russia), Vladimir Potapov (Sobolev Institute of Mathematics

arxiv:1301.0014 v3 · 2012-12-31 · cs.IT · cs.DM · 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{556EME3MKITYUOKW5WIXZTDJQZ}

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	2026-05-18T02:56:21.376255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef7c46136c52278a3956ed917ccc698656509e56c0b76c253878aa1c34f5f208

Aliases

arxiv: 1301.0014 · arxiv_version: 1301.0014v3 · doi: 10.48550/arxiv.1301.0014 · pith_short_12: 556EME3MKITY · pith_short_16: 556EME3MKITYUOKW · pith_short_8: 556EME3M

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/556EME3MKITYUOKW5WIXZTDJQZ \
  | 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: ef7c46136c52278a3956ed917ccc698656509e56c0b76c253878aa1c34f5f208

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63ecacda480bbc499b9b00a50a5420f95e602f61134586faebaff40951773bf1",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-12-31T21:05:29Z",
    "title_canon_sha256": "5082cbbcc2db4c93ee61c2e0a807973b3c2770a90cd827a87a641fb4bc11c6d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0014",
    "kind": "arxiv",
    "version": 3
  }
}