Pith Number

pith:LMMKJY2T

pith:2014:LMMKJY2TBSJU237LAJBU64MMFC

not attested not anchored not stored refs pending

Non-existence of a ternary constant weight $(16, 5, 15; 2048)$ diameter perfect code

Denis S. Krotov, Olli Pottonen, Patric R. J. \"Osterg{\aa}rd

arxiv:1408.6927 v1 · 2014-08-29 · 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{LMMKJY2TBSJU237LAJBU64MMFC}

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	2026-05-18T01:15:23.938936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b18a4e3530c934d6feb02434f718c28bed44752e49c168bee0ecf9fea5f3bc9

Aliases

arxiv: 1408.6927 · arxiv_version: 1408.6927v1 · doi: 10.48550/arxiv.1408.6927 · pith_short_12: LMMKJY2TBSJU · pith_short_16: LMMKJY2TBSJU237L · pith_short_8: LMMKJY2T

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/LMMKJY2TBSJU237LAJBU64MMFC \
  | 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: 5b18a4e3530c934d6feb02434f718c28bed44752e49c168bee0ecf9fea5f3bc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ddb17ec8768f52e3f11cc806ed1674f345be4084ec78bf06543d2cc478880f8",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-08-29T06:06:30Z",
    "title_canon_sha256": "1587fde5382d1d44f360ebb8afc6d594e860045c1332ad0f1318aa104de1b0a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6927",
    "kind": "arxiv",
    "version": 1
  }
}