Pith Number

pith:JHINRZPL

pith:2026:JHINRZPL3S3ZSKRB4C6DHORN5V

not attested not anchored not stored refs pending

When is the strict closure of rings finitely generated?

Ryotaro Isobe

arxiv:2606.09016 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{JHINRZPL3S3ZSKRB4C6DHORN5V}

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	2026-06-09T02:07:53.657341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49d0d8e5ebdcb7992a21e0bc33ba2ded7e2ac0f7306a3dfa0b325255db294c47

Aliases

arxiv: 2606.09016 · arxiv_version: 2606.09016v1 · doi: 10.48550/arxiv.2606.09016 · pith_short_12: JHINRZPL3S3Z · pith_short_16: JHINRZPL3S3ZSKRB · pith_short_8: JHINRZPL

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/JHINRZPL3S3ZSKRB4C6DHORN5V \
  | 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: 49d0d8e5ebdcb7992a21e0bc33ba2ded7e2ac0f7306a3dfa0b325255db294c47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fe1a89c39fde65a620fc596c6415cdc383d4c3e16affd01e600930f0300d4b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-06-08T04:28:06Z",
    "title_canon_sha256": "832567a954afa3db04fe5af340a6095b2071a49bba38b4816d98cc970a611495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09016",
    "kind": "arxiv",
    "version": 1
  }
}