Pith Number

pith:UAP3MFW2

pith:2010:UAP3MFW2L3QSUEKQVOPMMSOXOY

not attested not anchored not stored refs pending

Cohen-Macaulayness of large powers of Stanley-Reisner ideals

Naoki Terai, Ngo Viet Trung

arxiv:1009.0833 v1 · 2010-09-04 · 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{UAP3MFW2L3QSUEKQVOPMMSOXOY}

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	2026-05-18T04:41:24.497243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a01fb616da5ee12a1150ab9ec649d77620c080b672a7607a7e8af9061f4e6909

Aliases

arxiv: 1009.0833 · arxiv_version: 1009.0833v1 · doi: 10.48550/arxiv.1009.0833 · pith_short_12: UAP3MFW2L3QS · pith_short_16: UAP3MFW2L3QSUEKQ · pith_short_8: UAP3MFW2

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/UAP3MFW2L3QSUEKQVOPMMSOXOY \
  | 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: a01fb616da5ee12a1150ab9ec649d77620c080b672a7607a7e8af9061f4e6909

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86024ebcb6fe5e434489476a84411a3cd77210659d0e59c8adb7def2f8d290d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-09-04T12:46:24Z",
    "title_canon_sha256": "6c916ce4247d45794b1e184b71bfb15f17f4be15776245923dc387d58ed614e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0833",
    "kind": "arxiv",
    "version": 1
  }
}