Pith Number

pith:GQ3OT72V

pith:2023:GQ3OT72VQRYEXURVOOUIK2WJGT

not attested not anchored not stored refs pending

A Generalized vanishing theorem for Blow-ups of Quasi-smooth Stacks

Yu Zhao

arxiv:2306.09672 v1 · 2023-06-16 · math.AG · math.DG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQ3OT72VQRYEXURVOOUIK2WJGT}

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	2026-07-05T06:21:22.677025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3436e9ff5584704bd23573a8856ac934c98199594e444e42bb870e37c87dcd24

Aliases

arxiv: 2306.09672 · arxiv_version: 2306.09672v1 · doi: 10.48550/arxiv.2306.09672 · pith_short_12: GQ3OT72VQRYE · pith_short_16: GQ3OT72VQRYEXURV · pith_short_8: GQ3OT72V

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/GQ3OT72VQRYEXURVOOUIK2WJGT \
  | 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: 3436e9ff5584704bd23573a8856ac934c98199594e444e42bb870e37c87dcd24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7236998bea6f087f8a00289ae5de1d9c919b04cc8a07ea5c96d41c17f70800c",
    "cross_cats_sorted": [
      "math.DG",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-06-16T08:08:17Z",
    "title_canon_sha256": "3733a95a431e6ec877be2eb68ed7c85b5ad47ee96c63cd2053de8708c527a727"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.09672",
    "kind": "arxiv",
    "version": 1
  }
}