Pith Number

pith:DCC3TEIK

pith:2010:DCC3TEIKC3HAWUPHM7FPI3ZNMB

not attested not anchored not stored refs pending

Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals

Ngo Viet Trung, Nguyen Cong Minh

arxiv:1003.2152 v2 · 2010-03-10 · math.AC · math.AG · 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{DCC3TEIKC3HAWUPHM7FPI3ZNMB}

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	2026-05-18T04:27:47.693862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1885b9910a16ce0b51e767caf46f2d607149e2b562718e978b76f2abfc242eb8

Aliases

arxiv: 1003.2152 · arxiv_version: 1003.2152v2 · doi: 10.48550/arxiv.1003.2152 · pith_short_12: DCC3TEIKC3HA · pith_short_16: DCC3TEIKC3HAWUPH · pith_short_8: DCC3TEIK

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/DCC3TEIKC3HAWUPHM7FPI3ZNMB \
  | 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: 1885b9910a16ce0b51e767caf46f2d607149e2b562718e978b76f2abfc242eb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13fcd80e4d85a5f06019bce877bceb0496892b5deaf14e27081a653d3068c9b9",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-03-10T16:52:53Z",
    "title_canon_sha256": "3b2241f364ecc6bfcf0336093136a3c99b43d7deff901476c1a83cfcd7077042"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2152",
    "kind": "arxiv",
    "version": 2
  }
}