Pith Number

pith:6H2RGM6F

pith:2022:6H2RGM6FWYZGLOXWDAZAZM3YK3

not attested not anchored not stored refs pending

Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields

Azizul Hoque, Kalyan Chakraborty

arxiv:2210.00561 v1 · 2022-10-02 · 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{6H2RGM6FWYZGLOXWDAZAZM3YK3}

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	2026-07-05T05:02:45.183293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1f51333c5b63265baf618320cb37856f8316c8a1fd79ff702d579acc54a3d0d

Aliases

arxiv: 2210.00561 · arxiv_version: 2210.00561v1 · doi: 10.48550/arxiv.2210.00561 · pith_short_12: 6H2RGM6FWYZG · pith_short_16: 6H2RGM6FWYZGLOXW · pith_short_8: 6H2RGM6F

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/6H2RGM6FWYZGLOXWDAZAZM3YK3 \
  | 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: f1f51333c5b63265baf618320cb37856f8316c8a1fd79ff702d579acc54a3d0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44aadf018f0df25bc14a593ba3ce45ac2e3d1793feefb193083dcd06758f938e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-10-02T16:17:09Z",
    "title_canon_sha256": "d10db0f8236828048f82bdaae880fd6996c4a99681e6002d05c6fbc32a3a2da3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.00561",
    "kind": "arxiv",
    "version": 1
  }
}