Pith Number

pith:RIJ2AL3E

pith:2016:RIJ2AL3EWK62U4X5CHBT7AZCAO

not attested not anchored not stored refs pending

Performance of ternary double circulant, double twistulant, and self-dual codes

Masaaki Harada, T. Aaron Gulliver

arxiv:1609.01809 v1 · 2016-09-07 · cs.IT · 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{RIJ2AL3EWK62U4X5CHBT7AZCAO}

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	2026-05-18T01:05:10.038597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a13a02f64b2bdaa72fd11c33f832203a4c6528ce79734568d5e45d53b34b16b

Aliases

arxiv: 1609.01809 · arxiv_version: 1609.01809v1 · doi: 10.48550/arxiv.1609.01809 · pith_short_12: RIJ2AL3EWK62 · pith_short_16: RIJ2AL3EWK62U4X5 · pith_short_8: RIJ2AL3E

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/RIJ2AL3EWK62U4X5CHBT7AZCAO \
  | 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: 8a13a02f64b2bdaa72fd11c33f832203a4c6528ce79734568d5e45d53b34b16b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b3cf31b932e5d2018cc4fe038469624d8d18fece2666ba9a931cdac79d2cf57",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-07T02:56:42Z",
    "title_canon_sha256": "e81e8e11b63d9177f2af368f263b9a998fcdefc99dea37f3129e25de32c81f3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01809",
    "kind": "arxiv",
    "version": 1
  }
}