Pith Number

pith:HRK4NQAV

pith:2016:HRK4NQAVB44NUWITHWAR6LXT4K

not attested not anchored not stored refs pending

A characterization of $\mathbb{Z}_2\mathbb{Z}_2[u]$-linear codes

Joaquim Borges

arxiv:1611.05655 v1 · 2016-11-17 · 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{HRK4NQAVB44NUWITHWAR6LXT4K}

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	2026-05-18T00:58:02.969807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c55c6c0150f38da59133d811f2ef3e2b04843b2b8f4ce30cb7b6d5bc875558c

Aliases

arxiv: 1611.05655 · arxiv_version: 1611.05655v1 · doi: 10.48550/arxiv.1611.05655 · pith_short_12: HRK4NQAVB44N · pith_short_16: HRK4NQAVB44NUWIT · pith_short_8: HRK4NQAV

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/HRK4NQAVB44NUWITHWAR6LXT4K \
  | 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: 3c55c6c0150f38da59133d811f2ef3e2b04843b2b8f4ce30cb7b6d5bc875558c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1bc93450abf20d1589706d62d38574bdf6c0adc28d3e3f18da8e43ba61337b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-17T12:27:33Z",
    "title_canon_sha256": "704b2d4748b10ec2adfcc975c16f735198d4bf7ab6c037254c01238da2a484f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05655",
    "kind": "arxiv",
    "version": 1
  }
}