Pith Number

pith:3CPDLS2P

pith:2018:3CPDLS2PJ2KKWSWQO2AA3QJXVX

not attested not anchored not stored refs pending

Expanding phenomena over matrix rings

Chun-Yen Shen, Doowon Koh, Le Anh Vinh, Thang Pham, Ye\c{s}\.im Dem\.iro\u{g}lu Karabulut

arxiv:1803.08357 v3 · 2018-03-22 · math.NT · 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{3CPDLS2PJ2KKWSWQO2AA3QJXVX}

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	2026-05-17T23:50:38.698354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d89e35cb4f4e94ab4ad076800dc137adcb571ecfddbac0c37a3c6f751d5d9180

Aliases

arxiv: 1803.08357 · arxiv_version: 1803.08357v3 · doi: 10.48550/arxiv.1803.08357 · pith_short_12: 3CPDLS2PJ2KK · pith_short_16: 3CPDLS2PJ2KKWSWQ · pith_short_8: 3CPDLS2P

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/3CPDLS2PJ2KKWSWQO2AA3QJXVX \
  | 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: d89e35cb4f4e94ab4ad076800dc137adcb571ecfddbac0c37a3c6f751d5d9180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ea802392c5864085c50ec934d1ec59e92e92d0049e56c230a644b3a93f68cb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-22T13:48:59Z",
    "title_canon_sha256": "9d7e9d8b0920db246a2ac69722ab94b1a2167261eb8529cc779c7cf8a7dc26c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08357",
    "kind": "arxiv",
    "version": 3
  }
}