Pith Number

pith:LTZDTPTD

pith:2014:LTZDTPTDHM5RLEZEWX5NYKA3IS

not attested not anchored not stored refs pending

Hilbert series of modules over positively graded polynomials rings

Jan Uliczka, Julio Jos\'e Moyano-Fern\'andez, Lukas Katth\"an

arxiv:1402.2588 v2 · 2014-02-11 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTZDTPTDHM5RLEZEWX5NYKA3IS}

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	2026-05-18T01:15:15.501622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cf239be633b3b159324b5fadc281b44ace4440e70a43b50fe419c6276a66488

Aliases

arxiv: 1402.2588 · arxiv_version: 1402.2588v2 · doi: 10.48550/arxiv.1402.2588 · pith_short_12: LTZDTPTDHM5R · pith_short_16: LTZDTPTDHM5RLEZE · pith_short_8: LTZDTPTD

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/LTZDTPTDHM5RLEZEWX5NYKA3IS \
  | 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: 5cf239be633b3b159324b5fadc281b44ace4440e70a43b50fe419c6276a66488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b82548bb93b1a6bc047f368f392b277fcad9ae650632a624239e0dc494e39d8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-02-11T18:14:10Z",
    "title_canon_sha256": "6e2a4c444a9e82d42cea832725a1b1f5fa86f2810fc5c9bb0124e556ba7d7206"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2588",
    "kind": "arxiv",
    "version": 2
  }
}