Pith Number

pith:EC3EETMY

pith:2017:EC3EETMYMK65NJ2SYEQDMV7KPT

not attested not anchored not stored refs pending

CM points on Shimura curves and $p$-adic binary quadratic forms

Piermarco Milione

arxiv:1703.01133 v2 · 2017-03-03 · 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{EC3EETMYMK65NJ2SYEQDMV7KPT}

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	2026-05-18T00:29:40.980355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20b6424d9862bdd6a752c1203657ea7cdaae2d2d427c24e20957ee4d515f8a65

Aliases

arxiv: 1703.01133 · arxiv_version: 1703.01133v2 · doi: 10.48550/arxiv.1703.01133 · pith_short_12: EC3EETMYMK65 · pith_short_16: EC3EETMYMK65NJ2S · pith_short_8: EC3EETMY

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/EC3EETMYMK65NJ2SYEQDMV7KPT \
  | 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: 20b6424d9862bdd6a752c1203657ea7cdaae2d2d427c24e20957ee4d515f8a65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a39fe62f32c1b97216a9ad60ac6d58170504a0c79d83f2ac394ed8c42097374d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-03T12:44:50Z",
    "title_canon_sha256": "d1772225345ab810a2b4bde67c043b7cbc8abf7fe41779841e0e39a5deb66a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01133",
    "kind": "arxiv",
    "version": 2
  }
}