Pith Number

pith:KXPV5HPJ

pith:2025:KXPV5HPJB42QWQYKM6DXRXYTCH

not attested not anchored not stored refs pending

Computing the Stable Reduction of Hyperelliptic Curves in Residue Characteristic 2

Tim Gehrunger

arxiv:2506.19663 v1 · 2025-06-24 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KXPV5HPJB42QWQYKM6DXRXYTCH}

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.

Receipt and verification

First computed	2026-07-05T11:26:36.375519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55df5e9de90f350b430a678778df1311fbd12d05a4ce3314d6de5d6112fa7c0a

Aliases

arxiv: 2506.19663 · arxiv_version: 2506.19663v1 · doi: 10.48550/arxiv.2506.19663 · pith_short_12: KXPV5HPJB42Q · pith_short_16: KXPV5HPJB42QWQYK · pith_short_8: KXPV5HPJ

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/KXPV5HPJB42QWQYKM6DXRXYTCH \
  | 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: 55df5e9de90f350b430a678778df1311fbd12d05a4ce3314d6de5d6112fa7c0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae6c2eddf82365d6ba67f23590e78547c387de3ed410ebc0bd318387ee394c80",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-24T14:27:01Z",
    "title_canon_sha256": "a03acaf5f396c4f6a20db51a7e05be47e3dbdbc714a4f0a6466b6cbcfc2d62aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19663",
    "kind": "arxiv",
    "version": 1
  }
}