Pith Number

pith:HVYA2RGZ

pith:2026:HVYA2RGZ5ZL6XBGIWGVEBNFAEH

not attested not anchored not stored refs pending

Some lower bounds for the maximal number of A-singularities in algebraic surfaces. II

Juan Garc\'ia Escudero

Extending a geometric construction provides lower bounds on the maximum number of A-singularities for additional algebraic surface families.

arxiv:2604.15060 v2 · 2026-04-16 · math.AG

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\usepackage{pith}
\pithnumber{HVYA2RGZ5ZL6XBGIWGVEBNFAEH}

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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.

Claims

C1strongest claim

We extend the construction in order to obtain lower bounds for the maximal number of A singularities for certain additional cases.

C2weakest assumption

That the geometric construction from the cited recent paper can be adapted to the new families without losing the required singularity counts or introducing uncontrolled degenerations.

C3one line summary

Extends an earlier construction to give lower bounds on the maximal number of A-singularities for additional classes of algebraic surfaces in CP^3.

Receipt and verification

First computed	2026-05-25T02:02:15.303863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d700d44d9ee57eb84c8b1aa40b4a021cef667500a67c2cce9df846129483edb

Aliases

arxiv: 2604.15060 · arxiv_version: 2604.15060v2 · doi: 10.48550/arxiv.2604.15060 · pith_short_12: HVYA2RGZ5ZL6 · pith_short_16: HVYA2RGZ5ZL6XBGI · pith_short_8: HVYA2RGZ

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/HVYA2RGZ5ZL6XBGIWGVEBNFAEH \
  | 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: 3d700d44d9ee57eb84c8b1aa40b4a021cef667500a67c2cce9df846129483edb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5103d6cd657d49efe5ba53728313ac64b104b1ff176f9d13d3fc15002bb8155",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-04-16T14:25:16Z",
    "title_canon_sha256": "c3839d3f0b8bf99a84f2c555a7d30b6ced0917af9d9746cdf54fbfdc7ee5f074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.15060",
    "kind": "arxiv",
    "version": 2
  }
}