Pith Number

pith:5SQDXXWN

pith:2006:5SQDXXWNGJUHE3UX5YFCZNGBQ2

not attested not anchored not stored refs pending

On the arithmetic of certain modular curves

Chang Heon Kim, Daeyeol Jeon

arxiv:math/0607611 v1 · 2006-07-25 · 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{5SQDXXWNGJUHE3UX5YFCZNGBQ2}

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	2026-05-18T01:38:23.913888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eca03bdecd3268726e97ee0a2cb4c18684fd9c128f4c4cbe42d8692469fd94b5

Aliases

arxiv: math/0607611 · arxiv_version: math/0607611v1 · doi: 10.48550/arxiv.math/0607611 · pith_short_12: 5SQDXXWNGJUH · pith_short_16: 5SQDXXWNGJUHE3UX · pith_short_8: 5SQDXXWN

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/5SQDXXWNGJUHE3UX5YFCZNGBQ2 \
  | 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: eca03bdecd3268726e97ee0a2cb4c18684fd9c128f4c4cbe42d8692469fd94b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e7249d6c081aea21c24f7895190c2a26df294d69e2b39a8dcef8417790675ae",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-07-25T02:00:54Z",
    "title_canon_sha256": "0689b020d66a9f7ecae15819f34758144eac2e91a6f6e61d4689d015f25f2cfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607611",
    "kind": "arxiv",
    "version": 1
  }
}