Pith Number

pith:EI3Q72LA

pith:2024:EI3Q72LAA2X6WO7MDXGLMBF5F6

not attested not anchored not stored refs pending

Automorphisms of unstable ${\mathbb P}^1$-bundles

J\'anos Koll\'ar

arxiv:2405.18201 v2 · 2024-05-28 · 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{EI3Q72LAA2X6WO7MDXGLMBF5F6}

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.

Cited by

1 paper in Pith

Automorphisms of very general blow up

Receipt and verification

First computed	2026-07-05T08:27:08.832178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22370fe96006afeb3bec1dccb604bd2fb15d9558aa0f19797e833a47d07c00d8

Aliases

arxiv: 2405.18201 · arxiv_version: 2405.18201v2 · doi: 10.48550/arxiv.2405.18201 · pith_short_12: EI3Q72LAA2X6 · pith_short_16: EI3Q72LAA2X6WO7M · pith_short_8: EI3Q72LA

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/EI3Q72LAA2X6WO7MDXGLMBF5F6 \
  | 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: 22370fe96006afeb3bec1dccb604bd2fb15d9558aa0f19797e833a47d07c00d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "885fa090fca8e02532d308f2b96e94ac215f7a82ebb6b9d14ff9e2b1fd2d5bdf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-05-28T14:08:25Z",
    "title_canon_sha256": "1ad1d4ddda52a4ff41afa741d2ba5db649d7ecf5f022518889568f351ac7f13c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.18201",
    "kind": "arxiv",
    "version": 2
  }
}