Pith Number

pith:CYO6XOPC

pith:2026:CYO6XOPCVPCCJL6MFRESE5B4OD

not attested not anchored not stored refs pending

On gcd-graphs over matrix rings

Dung Nguyen, Tung T. Nguyen

arxiv:2606.00836 v1 · 2026-05-30 · 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{CYO6XOPCVPCCJL6MFRESE5B4OD}

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	2026-06-02T01:04:07.236939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

161debb9e2abc424afcc2c4922743c70d63856dc43b12c559b5952a46b5ff948

Aliases

arxiv: 2606.00836 · arxiv_version: 2606.00836v1 · doi: 10.48550/arxiv.2606.00836 · pith_short_12: CYO6XOPCVPCC · pith_short_16: CYO6XOPCVPCCJL6M · pith_short_8: CYO6XOPC

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/CYO6XOPCVPCCJL6MFRESE5B4OD \
  | 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: 161debb9e2abc424afcc2c4922743c70d63856dc43b12c559b5952a46b5ff948

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56bf38de0d3f879e4acf4d829722e51a24e0c6f435b53375684ca6364eb30fc9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-30T18:23:15Z",
    "title_canon_sha256": "8c67162ed49906299ee2ffc0328b4d8b40e26ea9c795f996ee2e3e662a7921a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00836",
    "kind": "arxiv",
    "version": 1
  }
}