Pith Number

pith:IPRLNV7C

pith:2023:IPRLNV7CFIX4MOVLA2RIN3KG5L

not attested not anchored not stored refs pending

Optimal bounds for many T-singularities in stable surfaces

Fernando Figueroa, Giancarlo Urz\'ua, Julie Rana

arxiv:2308.05624 v2 · 2023-08-10 · math.AG · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPRLNV7CFIX4MOVLA2RIN3KG5L}

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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

1 paper in Pith

Normal stable degenerations of Noether-Horikawa surfaces

Receipt and verification

First computed	2026-07-05T08:05:49.965689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43e2b6d7e22a2fc63aab06a286ed46eada8d3c12f204008026982042b39be084

Aliases

arxiv: 2308.05624 · arxiv_version: 2308.05624v2 · doi: 10.48550/arxiv.2308.05624 · pith_short_12: IPRLNV7CFIX4 · pith_short_16: IPRLNV7CFIX4MOVL · pith_short_8: IPRLNV7C

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/IPRLNV7CFIX4MOVLA2RIN3KG5L \
  | 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: 43e2b6d7e22a2fc63aab06a286ed46eada8d3c12f204008026982042b39be084

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f99dadb65ad17969e46a34e343826e86b0282a5da5ca0111ca811e2e5e8b5030",
    "cross_cats_sorted": [
      "math.GT",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-08-10T15:13:43Z",
    "title_canon_sha256": "93f659afd793094c488678944360f7ec85e17ed9b64642edbdb54273ce9c6f60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.05624",
    "kind": "arxiv",
    "version": 2
  }
}