Pith Number

pith:XHKYGHOF

pith:2024:XHKYGHOFEALURCDX7JNK4WCFDU

not attested not anchored not stored refs pending

Perfectoid pure singularities

Bhargav Bhatt, Jakub Witaszek, Joe Waldron, Karl Schwede, Kevin Tucker, Linquan Ma, Zsolt Patakfalvi

arxiv:2409.17965 v1 · 2024-09-26 · math.AG · math.AC · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHKYGHOFEALURCDX7JNK4WCFDU}

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

7 papers in Pith

Quasi-$F$-singularities and singularities in birational geometry

Bounds on the plus-pure thresholds of some hypersurfaces in (ramified) regular rings

Algebraization of absolute perfectoidization via section rings

Perfectoid splitting and global $+$-regularity for smooth hypersurfaces

A local-global correspondence for perfectoid purity

Receipt and verification

First computed	2026-07-05T09:12:18.388942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d5831dc52017488877fa5aae58451d1f03c10726535623a33fe392db5034cc

Aliases

arxiv: 2409.17965 · arxiv_version: 2409.17965v1 · doi: 10.48550/arxiv.2409.17965 · pith_short_12: XHKYGHOFEALU · pith_short_16: XHKYGHOFEALURCDX · pith_short_8: XHKYGHOF

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/XHKYGHOFEALURCDX7JNK4WCFDU \
  | 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: b9d5831dc52017488877fa5aae58451d1f03c10726535623a33fe392db5034cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09673bfbf82d1132623eeeafbbd47fb566805f5989486b4a167bcd210ae4444b",
    "cross_cats_sorted": [
      "math.AC",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-09-26T15:41:42Z",
    "title_canon_sha256": "babe494c25d335e8920c37c75d9e84aad51f47f39320dbdf08a41d1b8f6826dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.17965",
    "kind": "arxiv",
    "version": 1
  }
}