Pith Number

pith:FSW5U7DT

pith:2026:FSW5U7DTHSXNCMAUZTJT64TGJQ

not attested not anchored not stored refs pending

Curves of genus two with maps of every degree to a fixed elliptic curve

Everett W. Howe

arxiv:2601.19050 v3 · 2026-01-27 · math.NT · 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{FSW5U7DTHSXNCMAUZTJT64TGJQ}

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	2026-06-02T02:04:13.458474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cadda7c733caed13014ccd33f72664c2654ee586b23fc8119c48473252c1c23

Aliases

arxiv: 2601.19050 · arxiv_version: 2601.19050v3 · doi: 10.48550/arxiv.2601.19050 · pith_short_12: FSW5U7DTHSXN · pith_short_16: FSW5U7DTHSXNCMAU · pith_short_8: FSW5U7DT

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/FSW5U7DTHSXNCMAUZTJT64TGJQ \
  | 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: 2cadda7c733caed13014ccd33f72664c2654ee586b23fc8119c48473252c1c23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3144b4e8783b80e51eb50fa7aba1add8ea1ccb1c68217ea22b311bba690e3dff",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-01-27T00:12:29Z",
    "title_canon_sha256": "bf40276138bee1a360c26ed6ef514d579baa51924ce327ca08bc199310f65174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.19050",
    "kind": "arxiv",
    "version": 3
  }
}