Pith Number

pith:AT4EMDMQ

pith:2026:AT4EMDMQMRWPCN3T6TX75EYJOX

not attested not anchored not stored refs pending

On the number of generators of licci ideals

Bernd Ulrich, Claudia Polini, Craig Huneke

arxiv:2606.11467 v1 · 2026-06-09 · 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{AT4EMDMQMRWPCN3T6TX75EYJOX}

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	2026-06-11T01:09:50.649293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04f8460d90646cf13773f4effe930975db99a55e4b7efb00d1981c04bbb791e0

Aliases

arxiv: 2606.11467 · arxiv_version: 2606.11467v1 · doi: 10.48550/arxiv.2606.11467 · pith_short_12: AT4EMDMQMRWP · pith_short_16: AT4EMDMQMRWPCN3T · pith_short_8: AT4EMDMQ

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/AT4EMDMQMRWPCN3T6TX75EYJOX \
  | 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: 04f8460d90646cf13773f4effe930975db99a55e4b7efb00d1981c04bbb791e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c72d12e1e43114b6bbbd8bda49daad383c6b7a7843af6bc4bf8fb0a40a47776",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-06-09T21:56:36Z",
    "title_canon_sha256": "64e5d4d84fada3ba1a7d3ff15c27249c7c5d3b17ccc816428350ac94d921f4bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11467",
    "kind": "arxiv",
    "version": 1
  }
}