Pith Number

pith:PMJSXBTU

pith:2013:PMJSXBTU4AC4PFWQAGE7S6ZEFB

not attested not anchored not stored refs pending

The nonexistence of an additive quaternary [15,5,9]-code

Daniele Bartoli, Fernanda Pambianco, Giorgio Faina, Juergen Bierbrauer, Stefano Marcugini

arxiv:1308.2108 v1 · 2013-08-09 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMJSXBTU4AC4PFWQAGE7S6ZEFB}

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	2026-05-18T03:16:18.238481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b132b8674e005c796d00189f97b242871ef0d673c3011f743983343801e24cf

Aliases

arxiv: 1308.2108 · arxiv_version: 1308.2108v1 · doi: 10.48550/arxiv.1308.2108 · pith_short_12: PMJSXBTU4AC4 · pith_short_16: PMJSXBTU4AC4PFWQ · pith_short_8: PMJSXBTU

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/PMJSXBTU4AC4PFWQAGE7S6ZEFB \
  | 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: 7b132b8674e005c796d00189f97b242871ef0d673c3011f743983343801e24cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f372370ffd55a2c7ded895ceaec716638c4d9f65aa1ba979afbab1182e549fdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-09T12:34:40Z",
    "title_canon_sha256": "39f8f5d6fee6310570a5f28cb3c1a2df2c7614fb56a04c37abed8e0c903b9453"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2108",
    "kind": "arxiv",
    "version": 1
  }
}