Pith Number

pith:MBUUPBOI

pith:2021:MBUUPBOIG6M6QDRUUEBK3OKNFS

not attested not anchored not stored refs pending

Stability of Associated Primes and Depth of Integral Closures of Powers of Edge Ideals

Dong Huu Mau, Tran Nam Trung

arxiv:2108.01830 v1 · 2021-08-04 · math.AC · math.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBUUPBOIG6M6QDRUUEBK3OKNFS}

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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.

Cited by

1 paper in Pith

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals

Receipt and verification

First computed	2026-07-05T03:03:11.312886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60694785c83799e80e34a102adb94d2c9e8b14d03d429900d63170470322482d

Aliases

arxiv: 2108.01830 · arxiv_version: 2108.01830v1 · doi: 10.48550/arxiv.2108.01830 · pith_short_12: MBUUPBOIG6M6 · pith_short_16: MBUUPBOIG6M6QDRU · pith_short_8: MBUUPBOI

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/MBUUPBOIG6M6QDRUUEBK3OKNFS \
  | 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: 60694785c83799e80e34a102adb94d2c9e8b14d03d429900d63170470322482d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d0211580da21fd62c945535e5f9a8634458748d4a0e8b582636bbfe51701305",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2021-08-04T03:42:26Z",
    "title_canon_sha256": "c48c915e095b3b60e65b40948c79445463085f20906b5735012ee2a4a8584fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.01830",
    "kind": "arxiv",
    "version": 1
  }
}