Pith Number

pith:E5IDKQDY

pith:2015:E5IDKQDYPPPCP4SBXDRHFD6PLU

not attested not anchored not stored refs pending

The weak Lefschetz property for monomial ideals of small type

David Cook II, Uwe Nagel

arxiv:1507.03853 v2 · 2015-07-14 · 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{E5IDKQDYPPPCP4SBXDRHFD6PLU}

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	2026-05-18T01:36:49.398445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27503540787bde27f241b8e2728fcf5d1a8666fc53fe264b2c8abef5e94766be

Aliases

arxiv: 1507.03853 · arxiv_version: 1507.03853v2 · doi: 10.48550/arxiv.1507.03853 · pith_short_12: E5IDKQDYPPPC · pith_short_16: E5IDKQDYPPPCP4SB · pith_short_8: E5IDKQDY

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/E5IDKQDYPPPCP4SBXDRHFD6PLU \
  | 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: 27503540787bde27f241b8e2728fcf5d1a8666fc53fe264b2c8abef5e94766be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4cb725b547fa4f353f7809ac0ed6422d898265e13339ff9dfcf31e161574927",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-07-14T14:08:14Z",
    "title_canon_sha256": "9e92858eb7a93c1b6edb10a77edfae0e46bce7c392d8bf367f154f6d8066e23d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03853",
    "kind": "arxiv",
    "version": 2
  }
}