Pith Number

pith:7JHBAZDI

pith:2018:7JHBAZDIYAY6C37MEUKA7KI6ZW

not attested not anchored not stored refs pending

The weak Lefschetz property of a special class of Artinian algebras over fields of positive characteristic

Hassan Haghighi, Sepideh Tashvighi

arxiv:1806.08529 v1 · 2018-06-22 · 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{7JHBAZDIYAY6C37MEUKA7KI6ZW}

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	2026-05-18T00:12:36.948924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa4e106468c031e16fec25140fa91ecdbdb10c747918d8c7dd30b34ee545def5

Aliases

arxiv: 1806.08529 · arxiv_version: 1806.08529v1 · doi: 10.48550/arxiv.1806.08529 · pith_short_12: 7JHBAZDIYAY6 · pith_short_16: 7JHBAZDIYAY6C37M · pith_short_8: 7JHBAZDI

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/7JHBAZDIYAY6C37MEUKA7KI6ZW \
  | 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: fa4e106468c031e16fec25140fa91ecdbdb10c747918d8c7dd30b34ee545def5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a604a9ab26a62d79ba51f7366439e8931c726d74b14344ee9ee5f58f8f9305d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-06-22T07:36:21Z",
    "title_canon_sha256": "143e9eb54d339f573f0e2a81344e8a4cd4c8a45fe27340c1a75d96c0b9101792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08529",
    "kind": "arxiv",
    "version": 1
  }
}