Pith Number

pith:V7UWJ5UL

pith:2017:V7UWJ5ULD7DII3A7JKALSIWRTI

not attested not anchored not stored refs pending

Lefschetz properties for complete intersection ideals generated by products of linear forms

Akihito Wachi, Martina Juhnke-Kubitzke, Rosa M. Mir\'o-Roig, Satoshi Murai

arxiv:1708.01990 v1 · 2017-08-07 · 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{V7UWJ5ULD7DII3A7JKALSIWRTI}

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	2026-05-18T00:38:32.603353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afe964f68b1fc6846c1f4a80b922d19a314049d48ce955508a5dcbf92445d988

Aliases

arxiv: 1708.01990 · arxiv_version: 1708.01990v1 · doi: 10.48550/arxiv.1708.01990 · pith_short_12: V7UWJ5ULD7DI · pith_short_16: V7UWJ5ULD7DII3A7 · pith_short_8: V7UWJ5UL

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/V7UWJ5ULD7DII3A7JKALSIWRTI \
  | 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: afe964f68b1fc6846c1f4a80b922d19a314049d48ce955508a5dcbf92445d988

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ee38c2fbbe43975b23924ac39de436baa19c6c30d42f8a103adabc3997e9245",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-08-07T05:25:57Z",
    "title_canon_sha256": "d3f9cae84b8aabd13b6ef6004c19ff262c54546a53cc79d60fed0f80538b2b27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01990",
    "kind": "arxiv",
    "version": 1
  }
}