Pith Number

pith:Q6QT3FDX

pith:2019:Q6QT3FDXAKAZDN3HFKWJZ2SRJA

not attested not anchored not stored refs pending

Integrality properties in the Moduli Space of Elliptic Curves: CM Case

Stefan Schmid

arxiv:1906.10580 v1 · 2019-06-25 · 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{Q6QT3FDXAKAZDN3HFKWJZ2SRJA}

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	2026-05-17T23:42:15.911065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87a13d9477028191b7672aac9cea51481e6913d2acdbfd376e6b42518aec9ea5

Aliases

arxiv: 1906.10580 · arxiv_version: 1906.10580v1 · doi: 10.48550/arxiv.1906.10580 · pith_short_12: Q6QT3FDXAKAZ · pith_short_16: Q6QT3FDXAKAZDN3H · pith_short_8: Q6QT3FDX

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/Q6QT3FDXAKAZDN3HFKWJZ2SRJA \
  | 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: 87a13d9477028191b7672aac9cea51481e6913d2acdbfd376e6b42518aec9ea5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02446ffb63808f8c9864d224bf1b845e81d399da89dd2103f7b554cce6c81180",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-25T14:55:26Z",
    "title_canon_sha256": "a1ec32ac87876e19695ff39e276411e19f92df173bdaa6428a0faaafe5a38680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10580",
    "kind": "arxiv",
    "version": 1
  }
}