Pith Number

pith:HYQ6MZWJ

pith:2009:HYQ6MZWJLXYFRIUK3OXH2GAYQG

not attested not anchored not stored refs pending

Directed Graph Representation of Half-Rate Additive Codes over GF(4)

Lars Eirik Danielsen, Matthew G. Parker

arxiv:0902.3883 v3 · 2009-02-23 · math.CO · 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{HYQ6MZWJLXYFRIUK3OXH2GAYQG}

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	2026-05-18T04:26:45.939088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e21e666c95df058a28adbae7d181881b164d9c0b8d34e9b5fd107c59177d25a

Aliases

arxiv: 0902.3883 · arxiv_version: 0902.3883v3 · doi: 10.48550/arxiv.0902.3883 · pith_short_12: HYQ6MZWJLXYF · pith_short_16: HYQ6MZWJLXYFRIUK · pith_short_8: HYQ6MZWJ

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/HYQ6MZWJLXYFRIUK3OXH2GAYQG \
  | 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: 3e21e666c95df058a28adbae7d181881b164d9c0b8d34e9b5fd107c59177d25a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4ea23b9bf468859ca3e0251301dc9df46033b20f6d5d93c9e7e3ba8ff0e16ca",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-02-23T10:35:11Z",
    "title_canon_sha256": "0ce5bd68efeb0c306eb65764639e9c8e33e69c6354b07d267dd72cfc639c98de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3883",
    "kind": "arxiv",
    "version": 3
  }
}