Pith Number

pith:VR57OG6A

pith:2012:VR57OG6AIIGBVGFRVL3SGEWDIL

not attested not anchored not stored refs pending

The weak Lefschetz property for m-full ideals and componentwise linear ideals

Junzo Watanabe, Tadahito Harima

arxiv:1206.6579 v1 · 2012-06-28 · 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{VR57OG6AIIGBVGFRVL3SGEWDIL}

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	2026-05-18T03:52:25.568766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac7bf71bc0420c1a98b1aaf72312c342c14a7aac6c559a01cf079034943f543d

Aliases

arxiv: 1206.6579 · arxiv_version: 1206.6579v1 · doi: 10.48550/arxiv.1206.6579 · pith_short_12: VR57OG6AIIGB · pith_short_16: VR57OG6AIIGBVGFR · pith_short_8: VR57OG6A

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/VR57OG6AIIGBVGFRVL3SGEWDIL \
  | 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: ac7bf71bc0420c1a98b1aaf72312c342c14a7aac6c559a01cf079034943f543d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7139bd251ae665cedf64ca151d1a0161cc44fe6eebe2aefd5022e35ba6d30cea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-06-28T06:57:04Z",
    "title_canon_sha256": "39f56f8bf4d7b765cd399e7a7854989dacfe8fc9a36f0d12bbd35806f20b7c4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6579",
    "kind": "arxiv",
    "version": 1
  }
}