Pith Number

pith:TB7IDXW6

pith:2024:TB7IDXW6URNQYYTHDUN4BI6XDG

not attested not anchored not stored refs pending

On Frobenius liftability of surface singularities

Tatsuro Kawakami, Teppei Takamatsu

arxiv:2402.08152 v1 · 2024-02-13 · 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{TB7IDXW6URNQYYTHDUN4BI6XDG}

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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

3 papers in Pith

Extending one-forms on $F$-regular singularities

Higher singularities for hypersurfaces

Local vanishing for F-pure threefolds

Receipt and verification

First computed	2026-07-05T07:44:27.865012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

987e81dedea45b0c62671d1bc0a3d719a1925bcc129f5c9d3a82ea3a2861fa84

Aliases

arxiv: 2402.08152 · arxiv_version: 2402.08152v1 · doi: 10.48550/arxiv.2402.08152 · pith_short_12: TB7IDXW6URNQ · pith_short_16: TB7IDXW6URNQYYTH · pith_short_8: TB7IDXW6

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/TB7IDXW6URNQYYTHDUN4BI6XDG \
  | 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: 987e81dedea45b0c62671d1bc0a3d719a1925bcc129f5c9d3a82ea3a2861fa84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64bb3ec2c01a44b3d681439465b704e796fc3a66ffbbfe8503d33f60753ff005",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-02-13T01:23:26Z",
    "title_canon_sha256": "314a8068dca62efdfa9acbc8e449a3dd1e6c0f3510233a760f1d8d829001c372"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.08152",
    "kind": "arxiv",
    "version": 1
  }
}