Pith Number

pith:WBQUNUH4

pith:2018:WBQUNUH42I54IZJDAUAC5V22AP

not attested not anchored not stored refs pending

On the Weak Lefschetz Property for Vector Bundles on $\mathbb P^2$

Chris Peterson, Gioia Failla, Zachary Flores

arxiv:1803.10337 v1 · 2018-03-27 · math.AG · 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{WBQUNUH42I54IZJDAUAC5V22AP}

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	2026-05-18T00:19:55.757657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b06146d0fcd23bc4652305002ed75a03cac084a5863ad4e1f951da5d76909fe8

Aliases

arxiv: 1803.10337 · arxiv_version: 1803.10337v1 · doi: 10.48550/arxiv.1803.10337 · pith_short_12: WBQUNUH42I54 · pith_short_16: WBQUNUH42I54IZJD · pith_short_8: WBQUNUH4

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/WBQUNUH42I54IZJDAUAC5V22AP \
  | 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: b06146d0fcd23bc4652305002ed75a03cac084a5863ad4e1f951da5d76909fe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66b0063e82c2a4c01fd9e4708f9aafa1e5d6754ad3322f035eb694a7721b09d0",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-27T21:26:33Z",
    "title_canon_sha256": "f68c501f41c4fbf5f8c133b2938f19f1d698a7a4aaf2cba954aac673cf7273c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10337",
    "kind": "arxiv",
    "version": 1
  }
}