Pith Number

pith:K2CP5XYO

pith:2026:K2CP5XYO5P7L6KJZKNMGWPBJQU

not attested not anchored not stored refs pending

Bounds and Constructions of Maximum Toroidal Distance Codes

Jinquan Luo, Pengjie Zhong, Yufeng Song

arxiv:2606.13008 v1 · 2026-06-11 · 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{K2CP5XYO5P7L6KJZKNMGWPBJQU}

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	2026-06-12T01:09:36.869341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5684fedf0eebfebf293953586b3c29850debaa5cbab2f162a93db2b6041e4c16

Aliases

arxiv: 2606.13008 · arxiv_version: 2606.13008v1 · doi: 10.48550/arxiv.2606.13008 · pith_short_12: K2CP5XYO5P7L · pith_short_16: K2CP5XYO5P7L6KJZ · pith_short_8: K2CP5XYO

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/K2CP5XYO5P7L6KJZKNMGWPBJQU \
  | 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: 5684fedf0eebfebf293953586b3c29850debaa5cbab2f162a93db2b6041e4c16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6667da8305c8f46642b98eb1eda9f831d3fed840adb3a08df6e1cd566b5cb57c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-06-11T07:42:56Z",
    "title_canon_sha256": "dda61d532dfee778ce5d1c9373b269de863addba933c2de4fe8bca5cf465aa2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13008",
    "kind": "arxiv",
    "version": 1
  }
}