Pith Number

pith:Q5EVTFYJ

pith:2022:Q5EVTFYJP4WU5YV3VXPKR7U3VR

not attested not anchored not stored refs pending

On Stevenhagen's conjecture

Carlo Pagano, Peter Koymans

arxiv:2201.13424 v1 · 2022-01-31 · 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{Q5EVTFYJP4WU5YV3VXPKR7U3VR}

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.

Cited by

1 paper in Pith

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields

Receipt and verification

First computed	2026-07-05T03:52:51.915794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87495997097f2d4ee2bbaddea8fe9bac79665b8f69f9b1ae5edfa47b2d6dbd21

Aliases

arxiv: 2201.13424 · arxiv_version: 2201.13424v1 · doi: 10.48550/arxiv.2201.13424 · pith_short_12: Q5EVTFYJP4WU · pith_short_16: Q5EVTFYJP4WU5YV3 · pith_short_8: Q5EVTFYJ

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/Q5EVTFYJP4WU5YV3VXPKR7U3VR \
  | 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: 87495997097f2d4ee2bbaddea8fe9bac79665b8f69f9b1ae5edfa47b2d6dbd21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80db40eb9b56eace8aa3b71256cabb48e5d0afeb8b1dc5c8856e0cc51f648e21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-01-31T18:35:03Z",
    "title_canon_sha256": "02f0feb2b4a2826e7153bb8c14dd26f43d668326df464564f096295ee367ab30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.13424",
    "kind": "arxiv",
    "version": 1
  }
}