Pith Number

pith:NJH3VQ6L

pith:2026:NJH3VQ6LZ5BIEJLXZBTOS5PYOR

not attested not anchored not stored refs pending

Genus formulas for dormant modular curves and asymptotic behavior of their function fields

Kohei Aoyama, Yasuhiro Wakabayashi, Youhei Morita

arxiv:2605.17973 v1 · 2026-05-18 · 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{NJH3VQ6LZ5BIEJLXZBTOS5PYOR}

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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.

Receipt and verification

First computed	2026-05-20T00:05:08.876274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a4fbac3cbcf42822577c866e975f8746b7e6db66a40246574e207c8a6893602

Aliases

arxiv: 2605.17973 · arxiv_version: 2605.17973v1 · doi: 10.48550/arxiv.2605.17973 · pith_short_12: NJH3VQ6LZ5BI · pith_short_16: NJH3VQ6LZ5BIEJLX · pith_short_8: NJH3VQ6L

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/NJH3VQ6LZ5BIEJLXZBTOS5PYOR \
  | 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: 6a4fbac3cbcf42822577c866e975f8746b7e6db66a40246574e207c8a6893602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82f7061e65b2d6f216274cde5a9c6fbd5c5902c1822439c74a5e836d862fcf5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-18T07:29:36Z",
    "title_canon_sha256": "aa369078a56f8c673330ad6f908dd8f729fb30f70e145eae9a062fe68e6d68c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17973",
    "kind": "arxiv",
    "version": 1
  }
}