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Pith Number

pith:3DQEIZ6P

pith:2018:3DQEIZ6PIQEHM5ZJWZNWUD2SZY
not attested not anchored not stored refs pending

Stability of depth and Stanley depth of symbolic powers of squarefree monomial ideals

S. A. Seyed Fakhari

arxiv:1812.03742 v1 · 2018-12-10 · math.AC · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3DQEIZ6PIQEHM5ZJWZNWUD2SZY}

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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 2026-05-17T23:58:43.993784Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d8e04467cf4408767729b65b6a0f52ce1673d2f3dd798c87195ad2d78e99b318

Aliases

arxiv: 1812.03742 · arxiv_version: 1812.03742v1 · doi: 10.48550/arxiv.1812.03742 · pith_short_12: 3DQEIZ6PIQEH · pith_short_16: 3DQEIZ6PIQEHM5ZJ · pith_short_8: 3DQEIZ6P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3DQEIZ6PIQEHM5ZJWZNWUD2SZY \
  | 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: d8e04467cf4408767729b65b6a0f52ce1673d2f3dd798c87195ad2d78e99b318
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6e76f61edc12c7ac622cf670f1f3bf2c0df49c70c26d54c6f02247231b7de0c4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-12-10T11:31:37Z",
    "title_canon_sha256": "a54aa06c54f55f98cfa2d2668300d1c7479734bec1f7d32fff3cf37ceaa2099a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03742",
    "kind": "arxiv",
    "version": 1
  }
}