Pith Number

pith:G7CDQQTM

pith:2020:G7CDQQTM652RSQ55OXJWKXI5WW

not attested not anchored not stored refs pending

On decomposing monomial algebras with the Lefschetz properties

Lisa Nicklasson, Oleksandra Gasanova, Samuel Lundqvist

arxiv:2006.14453 v4 · 2020-06-25 · 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{G7CDQQTM652RSQ55OXJWKXI5WW}

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	2026-07-05T03:35:25.882712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37c438426cf7751943bd75d3655d1db5a93cef979ef7cd61e22ab6eeff61c7e8

Aliases

arxiv: 2006.14453 · arxiv_version: 2006.14453v4 · doi: 10.48550/arxiv.2006.14453 · pith_short_12: G7CDQQTM652R · pith_short_16: G7CDQQTM652RSQ55 · pith_short_8: G7CDQQTM

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/G7CDQQTM652RSQ55OXJWKXI5WW \
  | 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: 37c438426cf7751943bd75d3655d1db5a93cef979ef7cd61e22ab6eeff61c7e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88992145e4d10c5c01e1e2a6491dbeca04ef247785b50eaa527a2a3fb8c45432",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2020-06-25T14:48:15Z",
    "title_canon_sha256": "479b08b7e342660b9af5ab723a67f20d9779c5d43cc2d7449994e87d27c6ac14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.14453",
    "kind": "arxiv",
    "version": 4
  }
}