Pith Number

pith:C4UIH2PS

pith:2018:C4UIH2PSV6GGNYOINOWBNORXML

not attested not anchored not stored refs pending

The structure of chains of Ulrich ideals in Cohen-Macaulay local rings of dimension one

Ryotaro Isobe, Shinya Kumashiro, Shiro Goto

arxiv:1804.06643 v1 · 2018-04-18 · 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{C4UIH2PSV6GGNYOINOWBNORXML}

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	2026-05-18T00:18:06.149642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

172883e9f2af8c66e1c86bac16ba3762c719c6da1aca6f1dd3178f2b479e9b7f

Aliases

arxiv: 1804.06643 · arxiv_version: 1804.06643v1 · doi: 10.48550/arxiv.1804.06643 · pith_short_12: C4UIH2PSV6GG · pith_short_16: C4UIH2PSV6GGNYOI · pith_short_8: C4UIH2PS

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/C4UIH2PSV6GGNYOINOWBNORXML \
  | 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: 172883e9f2af8c66e1c86bac16ba3762c719c6da1aca6f1dd3178f2b479e9b7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7658fd6859454fed403f459b61f9c8fe41a2500f56c45dc92bb7b164e32124a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-04-18T10:46:25Z",
    "title_canon_sha256": "51142bc7a086b5c9d3ce8d0b7da2856531b788256604ecd9c1172a610023c924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06643",
    "kind": "arxiv",
    "version": 1
  }
}