Pith Number

pith:CMTFN73R

pith:2026:CMTFN73RLWX26LCG5O33JEWGGJ

not attested not anchored not stored refs pending

Construction and finite generation of the strict closure of rings

Ryotaro Isobe

arxiv:2606.09008 v1 · 2026-06-08 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMTFN73RLWX26LCG5O33JEWGGJ}

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	2026-06-09T02:07:53.121894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

132656ff715dafaf2c46ebb7b492c632605a719e717f9bd546007c0bcccd8f9d

Aliases

arxiv: 2606.09008 · arxiv_version: 2606.09008v1 · doi: 10.48550/arxiv.2606.09008 · pith_short_12: CMTFN73RLWX2 · pith_short_16: CMTFN73RLWX26LCG · pith_short_8: CMTFN73R

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/CMTFN73RLWX26LCG5O33JEWGGJ \
  | 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: 132656ff715dafaf2c46ebb7b492c632605a719e717f9bd546007c0bcccd8f9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "771707b1e5d6ab0bf12e4b810008edd1b3a638e530061d08bcc9e1888174096c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-06-08T04:11:32Z",
    "title_canon_sha256": "df93416be70b6dbe4bfc4bfabcf07483bb8d89c41215045152d043b4a8b3c20c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09008",
    "kind": "arxiv",
    "version": 1
  }
}