Pith Number

pith:FB3HAKEM

pith:2020:FB3HAKEMUC2MX6DD5LCLEZRGSQ

not attested not anchored not stored refs pending

Class number one problem for the real quadratic fields $\mathbb{Q}({\sqrt{m^2+2r}})$

Azizul Hoque, Srinivas Kotyada

arxiv:2008.03505 v1 · 2020-08-08 · 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{FB3HAKEMUC2MX6DD5LCLEZRGSQ}

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	2026-07-05T01:25:42.434476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

287670288ca0b4cbf863eac4b266269405c9bd04d7a21f4dbd7e442e7157cf38

Aliases

arxiv: 2008.03505 · arxiv_version: 2008.03505v1 · doi: 10.48550/arxiv.2008.03505 · pith_short_12: FB3HAKEMUC2M · pith_short_16: FB3HAKEMUC2MX6DD · pith_short_8: FB3HAKEM

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/FB3HAKEMUC2MX6DD5LCLEZRGSQ \
  | 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: 287670288ca0b4cbf863eac4b266269405c9bd04d7a21f4dbd7e442e7157cf38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68a87592b454ff8521e775c832abf3a028d5857a14cf853e1d10a8adfa715b46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-08-08T12:15:01Z",
    "title_canon_sha256": "dfe7f8db2a3e8778552896a44d11f7f27daeaaa2683cdc0f865713f103be14c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.03505",
    "kind": "arxiv",
    "version": 1
  }
}