Pith Number

pith:URZKHNEF

pith:2024:URZKHNEFKO3BXM3CLL26JX5R2U

not attested not anchored not stored refs pending

Higher F-injective singularities

Jakub Witaszek, Tatsuro Kawakami

arxiv:2412.08887 v1 · 2024-12-12 · 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{URZKHNEFKO3BXM3CLL26JX5R2U}

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

4 papers in Pith

Extending one-forms on $F$-regular singularities

Higher singularities for hypersurfaces

A $p$-adic Simpson correspondence for singular rigid-analytic varieties

Local vanishing for F-pure threefolds

Receipt and verification

First computed	2026-07-05T09:48:03.536853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a472a3b48553b61bb3625af5e4dfb1d503707e328ed77cc3847e04f9aa740571

Aliases

arxiv: 2412.08887 · arxiv_version: 2412.08887v1 · doi: 10.48550/arxiv.2412.08887 · pith_short_12: URZKHNEFKO3B · pith_short_16: URZKHNEFKO3BXM3C · pith_short_8: URZKHNEF

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/URZKHNEFKO3BXM3CLL26JX5R2U \
  | 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: a472a3b48553b61bb3625af5e4dfb1d503707e328ed77cc3847e04f9aa740571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c27677b31e61db75bd7367a14644c8a1ecb391b25c602324c213e1a60a6a356",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-12T02:50:37Z",
    "title_canon_sha256": "fa3d41607105f57b4f2d8c4695fda60bb3550a78689a221d6032e029d84ee4b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.08887",
    "kind": "arxiv",
    "version": 1
  }
}