Pith Number

pith:3U4ZKPBA

pith:2011:3U4ZKPBAZMRVXGNTV44JCRFVA7

not attested not anchored not stored refs pending

Galois group at Galois point for genus-one curve

Hisao Yoshihara, Mitsunori Kanazawa

arxiv:1105.1602 v1 · 2011-05-09 · 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{3U4ZKPBAZMRVXGNTV44JCRFVA7}

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	2026-05-18T04:22:39.125538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd39953c20cb235b99b3af389144b507c590003f46d14a3f0fdb234549bad30a

Aliases

arxiv: 1105.1602 · arxiv_version: 1105.1602v1 · doi: 10.48550/arxiv.1105.1602 · pith_short_12: 3U4ZKPBAZMRV · pith_short_16: 3U4ZKPBAZMRVXGNT · pith_short_8: 3U4ZKPBA

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/3U4ZKPBAZMRVXGNTV44JCRFVA7 \
  | 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: dd39953c20cb235b99b3af389144b507c590003f46d14a3f0fdb234549bad30a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eb37f33ed7e6306ee2cf731ecc037b509020b0277bf0563b205ca2e3e449aa6",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-09T08:57:26Z",
    "title_canon_sha256": "a8c290c25e3feffb7c2e4cbeaf79c8dcc9b23f08aa7a5d24eb229ba7c3b14754"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1602",
    "kind": "arxiv",
    "version": 1
  }
}