Pith Number

pith:K4KNEVWL

pith:2017:K4KNEVWLWBS5P5EQDQU5I3AGYR

not attested not anchored not stored refs pending

Pell-type equations and class number of the maximal real subfield of a cyclotomic field

Azizul Hoque, Kalyan Chakraborty

arxiv:1710.09760 v1 · 2017-10-26 · 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{K4KNEVWLWBS5P5EQDQU5I3AGYR}

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	2026-05-18T00:31:56.546101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5714d256cbb065d7f4901c29d46c06c45c75856d1e6c7c94c697e0b2b4666c63

Aliases

arxiv: 1710.09760 · arxiv_version: 1710.09760v1 · doi: 10.48550/arxiv.1710.09760 · pith_short_12: K4KNEVWLWBS5 · pith_short_16: K4KNEVWLWBS5P5EQ · pith_short_8: K4KNEVWL

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/K4KNEVWLWBS5P5EQDQU5I3AGYR \
  | 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: 5714d256cbb065d7f4901c29d46c06c45c75856d1e6c7c94c697e0b2b4666c63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b9783d735261cfce93e57135e58e5b0f581c303c0da19a3b46b18d574ab814a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-26T15:34:12Z",
    "title_canon_sha256": "5f407339e64df8984bede83727b16d53179807d63ce8b551aa81708568dfa786"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09760",
    "kind": "arxiv",
    "version": 1
  }
}