Pith Number

pith:D5CKRBLE

pith:2017:D5CKRBLE37NTKL4MWHHJAYN66G

not attested not anchored not stored refs pending

An arithmetic site of Connes-Consani type for imaginary quadratic fields with class number 1

Aur\'elien Sagnier

arxiv:1703.10521 v2 · 2017-03-30 · 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{D5CKRBLE37NTKL4MWHHJAYN66G}

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	2026-05-18T00:44:51.230361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f44a88564dfdb352f8cb1ce9061bef1814818af1075b41ad69eeaef560f0ec8

Aliases

arxiv: 1703.10521 · arxiv_version: 1703.10521v2 · doi: 10.48550/arxiv.1703.10521 · pith_short_12: D5CKRBLE37NT · pith_short_16: D5CKRBLE37NTKL4M · pith_short_8: D5CKRBLE

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/D5CKRBLE37NTKL4MWHHJAYN66G \
  | 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: 1f44a88564dfdb352f8cb1ce9061bef1814818af1075b41ad69eeaef560f0ec8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12c16ef27cb994243912607df186e534b02d50c63b053b42a700a5651d82d7ae",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-30T15:19:58Z",
    "title_canon_sha256": "4a242b94506a9b99169ec3471a1d14bf1253bfde0ec2c33550dc4629ae72dcc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10521",
    "kind": "arxiv",
    "version": 2
  }
}