Pith Number

pith:HCHY4443

pith:2018:HCHY44432E6GTKKDGV2HDIG43H

not attested not anchored not stored refs pending

On the depth and Stanley depth of integral closure of powers of monomial ideals

S. A. Seyed Fakhari

arxiv:1808.03189 v2 · 2018-08-09 · math.AC · 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{HCHY44432E6GTKKDGV2HDIG43H}

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	2026-05-18T00:08:25.271335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

388f8e739bd13c69a943357471a0dcd9d7bee8020fc943ebabf3a2f3a0f09f1d

Aliases

arxiv: 1808.03189 · arxiv_version: 1808.03189v2 · doi: 10.48550/arxiv.1808.03189 · pith_short_12: HCHY44432E6G · pith_short_16: HCHY44432E6GTKKD · pith_short_8: HCHY4443

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/HCHY44432E6GTKKDGV2HDIG43H \
  | 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: 388f8e739bd13c69a943357471a0dcd9d7bee8020fc943ebabf3a2f3a0f09f1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffe739e1dd9cc4d3a73f19b74dcb113ac9a5f128dc3b959bcf1e854a6fb74f23",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-08-09T15:02:03Z",
    "title_canon_sha256": "62dd9e43351ddb1f0159d944d41ea351fea981faab49054e06d54df434160bfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03189",
    "kind": "arxiv",
    "version": 2
  }
}