Pith Number

pith:BSWUBYOG

pith:2018:BSWUBYOGQGYXU7TKI7G5CJQ47C

not attested not anchored not stored refs pending

Constructing indecomposable integrally closed modules over a two-dimensional regular local ring

Futoshi Hayasaka

arxiv:1809.07944 v1 · 2018-09-21 · 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{BSWUBYOGQGYXU7TKI7G5CJQ47C}

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	2026-05-18T00:05:10.817058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cad40e1c681b17a7e6a47cdd1261cf888893e6db0fcf3433fd6e79904f0231c

Aliases

arxiv: 1809.07944 · arxiv_version: 1809.07944v1 · doi: 10.48550/arxiv.1809.07944 · pith_short_12: BSWUBYOGQGYX · pith_short_16: BSWUBYOGQGYXU7TK · pith_short_8: BSWUBYOG

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/BSWUBYOGQGYXU7TKI7G5CJQ47C \
  | 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: 0cad40e1c681b17a7e6a47cdd1261cf888893e6db0fcf3433fd6e79904f0231c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fcc3c121e21b9866725c4d4c53b844b21f52266681f4238cc1e977431e9e769",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-09-21T04:40:47Z",
    "title_canon_sha256": "f6976d17309910abb5064546b03389dfe906d1ea4dee12be59bcfcf7dbde58df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07944",
    "kind": "arxiv",
    "version": 1
  }
}