Pith Number

pith:ZSMJP6QL

pith:2018:ZSMJP6QLCSA5EHNXP2IZGXQTLQ

not attested not anchored not stored refs pending

Dependence of Lyubeznik numbers of cones of projective schemes on projective embeddings

Morihiko Saito, Thomas Reichelt, Uli Walther

arxiv:1803.07448 v4 · 2018-03-20 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSMJP6QLCSA5EHNXP2IZGXQTLQ}

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	2026-07-05T01:11:38.049806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc9897fa0b1481d21db77e91935e135c1b73ed63e5750bdc16a0f17ccd01568d

Aliases

arxiv: 1803.07448 · arxiv_version: 1803.07448v4 · doi: 10.48550/arxiv.1803.07448 · pith_short_12: ZSMJP6QLCSA5 · pith_short_16: ZSMJP6QLCSA5EHNX · pith_short_8: ZSMJP6QL

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/ZSMJP6QLCSA5EHNXP2IZGXQTLQ \
  | 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: cc9897fa0b1481d21db77e91935e135c1b73ed63e5750bdc16a0f17ccd01568d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5de6b79dd18a0380908b63d396edd0283cfb266291e950f351d88c51dd875f3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-20T14:20:56Z",
    "title_canon_sha256": "332dfda5b7046f11f8a83c39ebb831d405b85995ec2552221568d81232c208b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07448",
    "kind": "arxiv",
    "version": 4
  }
}