Pith Number

pith:RD7AUETT

pith:2021:RD7AUETTAARGSGQENTSBGM4SN6

not attested not anchored not stored refs pending

Reduction of Hyperelliptic Curves in Characteristic $\not=2$

Richard Pink, Tim Gehrunger

arxiv:2112.05550 v1 · 2021-12-10 · 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{RD7AUETTAARGSGQENTSBGM4SN6}

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

Clusters, toric ranks, and 2-ranks of hyperelliptic curves in the wild case

Receipt and verification

First computed	2026-07-05T03:39:49.521962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88fe0a12730022691a046ce41333926f8653f0f70c906ecbf259026f732ee579

Aliases

arxiv: 2112.05550 · arxiv_version: 2112.05550v1 · doi: 10.48550/arxiv.2112.05550 · pith_short_12: RD7AUETTAARG · pith_short_16: RD7AUETTAARGSGQE · pith_short_8: RD7AUETT

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/RD7AUETTAARGSGQENTSBGM4SN6 \
  | 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: 88fe0a12730022691a046ce41333926f8653f0f70c906ecbf259026f732ee579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4a9e0e5af106fba0d7c965265ffe2c9205b5304b9ac6389a4aef413bfb3e114",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-12-10T14:02:56Z",
    "title_canon_sha256": "01c1fd22a62db35ed659986265dde62ebac9cc47497b9800b15e4deda791e3b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.05550",
    "kind": "arxiv",
    "version": 1
  }
}