Pith Number

pith:JBK7EKG6

pith:2025:JBK7EKG6XN7EQXMTQDENCFAYEH

not attested not anchored not stored refs pending

Stratified Hyperbolicity of the moduli stack of stable minimal models, II: Big Picard Theorem and the stratified Brody hyperbolicity

Junchao Shentu

arxiv:2506.19218 v2 · 2025-06-24 · 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{JBK7EKG6XN7EQXMTQDENCFAYEH}

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	2026-07-05T11:34:09.745892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4855f228debb7e485d9380c8d1141821c950364e5cbaae2a47d236af5c73e457

Aliases

arxiv: 2506.19218 · arxiv_version: 2506.19218v2 · doi: 10.48550/arxiv.2506.19218 · pith_short_12: JBK7EKG6XN7E · pith_short_16: JBK7EKG6XN7EQXMT · pith_short_8: JBK7EKG6

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/JBK7EKG6XN7EQXMTQDENCFAYEH \
  | 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: 4855f228debb7e485d9380c8d1141821c950364e5cbaae2a47d236af5c73e457

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23259ae765521e867588daa2d0c6b29972186dbce7d7051ccce84752066141b9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-24T00:53:51Z",
    "title_canon_sha256": "6ba460c75b038712b2238ed6c19e83656b318d77148ac9ec18e047f6bf675eca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19218",
    "kind": "arxiv",
    "version": 2
  }
}