Pith Number

pith:KG3S3MTF

pith:2018:KG3S3MTFBTNMJZO5V2Y4XTESB5

not attested not anchored not stored refs pending

On the Coprimeness Property of Discrete Systems without the Irreducibility Condition

Masataka Kanki, Takafumi Mase, Tetsuji Tokihiro

arxiv:1804.02804 v3 · 2018-04-09 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KG3S3MTFBTNMJZO5V2Y4XTESB5}

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	2026-05-18T00:12:13.671446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51b72db2650cdac4e5ddaeb1cbcc920f6abfbe6ea812183884c333786cd85d49

Aliases

arxiv: 1804.02804 · arxiv_version: 1804.02804v3 · doi: 10.48550/arxiv.1804.02804 · pith_short_12: KG3S3MTFBTNM · pith_short_16: KG3S3MTFBTNMJZO5 · pith_short_8: KG3S3MTF

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/KG3S3MTFBTNMJZO5V2Y4XTESB5 \
  | 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: 51b72db2650cdac4e5ddaeb1cbcc920f6abfbe6ea812183884c333786cd85d49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d28a6de3811379f9d80aafe9bfe450d931871f37e1f1d93cd5e733d68bf3a87",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-04-09T03:36:57Z",
    "title_canon_sha256": "eda30e48b63a3ffdf063b245d2c7e852146d27b71826bb34f2eacc4da26cf396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02804",
    "kind": "arxiv",
    "version": 3
  }
}