Pith Number

pith:TUCND5PZ

pith:2017:TUCND5PZSONQHKNOY4UTDRDBMC

not attested not anchored not stored refs pending

Invariants of Cohen-Macaulay rings associated to their canonical ideals

Jooyoun Hong, Laura Ghezzi, Shiro Goto, Wolmer Vasconcelos

arxiv:1701.05592 v1 · 2017-01-19 · 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{TUCND5PZSONQHKNOY4UTDRDBMC}

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	2026-05-18T00:52:29.049766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d04d1f5f9939b03a9aec72931c46160a86ccb44b8c7ca60f3f4c6867ece792a

Aliases

arxiv: 1701.05592 · arxiv_version: 1701.05592v1 · doi: 10.48550/arxiv.1701.05592 · pith_short_12: TUCND5PZSONQ · pith_short_16: TUCND5PZSONQHKNO · pith_short_8: TUCND5PZ

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/TUCND5PZSONQHKNOY4UTDRDBMC \
  | 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: 9d04d1f5f9939b03a9aec72931c46160a86ccb44b8c7ca60f3f4c6867ece792a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9948563a9dc89f5abbba0ec7079e5ec4875ba96cabba0e3111adf3a8420e9b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-01-19T20:31:31Z",
    "title_canon_sha256": "20bf2808ef1aae9eb6702db6c898fa343a82e977de211473317c14462e48ee9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05592",
    "kind": "arxiv",
    "version": 1
  }
}