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Pith Number

pith:TZ6JX7Q2

pith:2013:TZ6JX7Q2KL6KP34AS6X4VKC33E
not attested not anchored not stored refs pending

Stanley depth and symbolic powers of monomial ideals

S. A. Seyed Fakhari

arxiv:1306.0542 v1 · 2013-06-03 · math.AC · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TZ6JX7Q2KL6KP34AS6X4VKC33E}

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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.
Receipt and verification
First computed 2026-05-18T03:21:55.114628Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9e7c9bfe1a52fca7ef8097afcaa85bd92b2003ae0d5d02ffeeb4eb9d01a482bb

Aliases

arxiv: 1306.0542 · arxiv_version: 1306.0542v1 · doi: 10.48550/arxiv.1306.0542 · pith_short_12: TZ6JX7Q2KL6K · pith_short_16: TZ6JX7Q2KL6KP34A · pith_short_8: TZ6JX7Q2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TZ6JX7Q2KL6KP34AS6X4VKC33E \
  | 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: 9e7c9bfe1a52fca7ef8097afcaa85bd92b2003ae0d5d02ffeeb4eb9d01a482bb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "71443cbe4eba5871a7eee0c4058415a5cbf732ac574394f7723f70444762bc40",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-06-03T19:16:26Z",
    "title_canon_sha256": "1c247ef90c2021bbef64cdb6e8a0f0abbd8d9b9f8ebfd81ebf04bb8ccf80a62c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0542",
    "kind": "arxiv",
    "version": 1
  }
}