Pith Number

pith:E3C67M7V

pith:2011:E3C67M7V6KULIGSQKUHCVLPYSZ

not attested not anchored not stored refs pending

Arithmetical rank of squarefree monomial ideals generated by five elements or with arithmetic degree four

Giancarlo Rinaldo, Kyouko Kimura, Naoki Terai

arxiv:1107.0563 v1 · 2011-07-04 · 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{E3C67M7V6KULIGSQKUHCVLPYSZ}

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	2026-05-18T04:18:53.753700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26c5efb3f5f2a8b41a50550e2aadf8966a2db88f977170dbee7dac974db3d2a2

Aliases

arxiv: 1107.0563 · arxiv_version: 1107.0563v1 · doi: 10.48550/arxiv.1107.0563 · pith_short_12: E3C67M7V6KUL · pith_short_16: E3C67M7V6KULIGSQ · pith_short_8: E3C67M7V

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/E3C67M7V6KULIGSQKUHCVLPYSZ \
  | 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: 26c5efb3f5f2a8b41a50550e2aadf8966a2db88f977170dbee7dac974db3d2a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29265361393e2a4d4303962ee12a66c1744223b764a759324d415f4c4fe7dc34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-07-04T08:54:23Z",
    "title_canon_sha256": "e836bfee9d74e5f042d127be9217fb56f58b2ce35ecd8013f2f8cf788526a3ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0563",
    "kind": "arxiv",
    "version": 1
  }
}