Pith Number

pith:RPJMBHAZ

pith:2013:RPJMBHAZIMZ2DZ5WP4TVIZFLWE

not attested not anchored not stored refs pending

On the associated primes and the depth of the second power of squarefree monomial ideals

Naoki Terai, Ngo Viet Trung

arxiv:1310.5303 v1 · 2013-10-20 · 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{RPJMBHAZIMZ2DZ5WP4TVIZFLWE}

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	2026-05-18T03:09:45.900508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bd2c09c194333a1e7b67f275464abb108208aaee62d6bc4bda831566bbfbd09

Aliases

arxiv: 1310.5303 · arxiv_version: 1310.5303v1 · doi: 10.48550/arxiv.1310.5303 · pith_short_12: RPJMBHAZIMZ2 · pith_short_16: RPJMBHAZIMZ2DZ5W · pith_short_8: RPJMBHAZ

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/RPJMBHAZIMZ2DZ5WP4TVIZFLWE \
  | 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: 8bd2c09c194333a1e7b67f275464abb108208aaee62d6bc4bda831566bbfbd09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcd55797ca75e61ff0c80080bc0d259a258ed6e652bd86c176024078ef60553f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-10-20T05:49:00Z",
    "title_canon_sha256": "56435f22375b8d0edd83156abaeb3463aa76b4bf8f80ebee6f3945b46bc71ba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5303",
    "kind": "arxiv",
    "version": 1
  }
}