Pith Number

pith:JD3FM5ZU

pith:2024:JD3FM5ZU5ATWKPJ5XUEAMXHC2Y

not attested not anchored not stored refs pending

On the Gonality type invariants and the slope of a fibered $3$-fold

Hiroto Akaike

arxiv:2404.05216 v1 · 2024-04-08 · 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{JD3FM5ZU5ATWKPJ5XUEAMXHC2Y}

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

1 paper in Pith

Normal stable degenerations of Noether-Horikawa surfaces

Receipt and verification

First computed	2026-07-05T08:05:27.550871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48f6567734e827653d3dbd08065ce2d619578dc4a20dff56155ade8b37047f5b

Aliases

arxiv: 2404.05216 · arxiv_version: 2404.05216v1 · doi: 10.48550/arxiv.2404.05216 · pith_short_12: JD3FM5ZU5ATW · pith_short_16: JD3FM5ZU5ATWKPJ5 · pith_short_8: JD3FM5ZU

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/JD3FM5ZU5ATWKPJ5XUEAMXHC2Y \
  | 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: 48f6567734e827653d3dbd08065ce2d619578dc4a20dff56155ade8b37047f5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e0ad25c8c833a642c09c3f6815bdf3c6cda24382aa40e97fd7a4a7d2a4b8aee",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-04-08T06:07:34Z",
    "title_canon_sha256": "76b4278a4517b2ad184d0361b0b06cbcbd136a0fafd3c8c83b161ce324da379b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.05216",
    "kind": "arxiv",
    "version": 1
  }
}