Pith Number

pith:RMOMQWYK

pith:2017:RMOMQWYKFZFPOTJGTKPM4UF277

not attested not anchored not stored refs pending

4-ranks and the general model for statistics of ray class groups of imaginary quadratic number fields

Carlo Pagano, Efthymios Sofos

arxiv:1710.07587 v1 · 2017-10-20 · 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{RMOMQWYKFZFPOTJGTKPM4UF277}

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	2026-05-18T00:32:24.425936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b1cc85b0a2e4af74d269a9ece50baffca950b01af1ea206c7347d9c1da49943

Aliases

arxiv: 1710.07587 · arxiv_version: 1710.07587v1 · doi: 10.48550/arxiv.1710.07587 · pith_short_12: RMOMQWYKFZFP · pith_short_16: RMOMQWYKFZFPOTJG · pith_short_8: RMOMQWYK

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/RMOMQWYKFZFPOTJGTKPM4UF277 \
  | 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: 8b1cc85b0a2e4af74d269a9ece50baffca950b01af1ea206c7347d9c1da49943

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cf78d21a09e55d150b08fa528d4a0a028a059dbcc32a62615bd2e9d4033b6c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-20T16:02:38Z",
    "title_canon_sha256": "83e88f752dba8527cd0d928d121de0b551cc61f480b094c08a77c9616f39d2c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07587",
    "kind": "arxiv",
    "version": 1
  }
}