Pith Number

pith:FXNMUFJI

pith:2018:FXNMUFJIQSNFFONYDHLNNGGDNP

not attested not anchored not stored refs pending

Biquadratic fields having a non-principal euclidean ideal class

Jaitra Chattopadhyay, Subramani Muthukrishnan

arxiv:1809.07478 v1 · 2018-09-20 · 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{FXNMUFJIQSNFFONYDHLNNGGDNP}

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	2026-05-18T00:05:16.181739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ddaca1528849a52b9b819d6d698c36beffd514337f6313f0960bf7a1b66e53f

Aliases

arxiv: 1809.07478 · arxiv_version: 1809.07478v1 · doi: 10.48550/arxiv.1809.07478 · pith_short_12: FXNMUFJIQSNF · pith_short_16: FXNMUFJIQSNFFONY · pith_short_8: FXNMUFJI

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/FXNMUFJIQSNFFONYDHLNNGGDNP \
  | 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: 2ddaca1528849a52b9b819d6d698c36beffd514337f6313f0960bf7a1b66e53f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecafb51777a787eb698c9ee7fce4a04f785902ce6e652888c3a92629ef364627",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-20T04:52:27Z",
    "title_canon_sha256": "1ecbb1d28ce2fb070f42ae82b857a3d48d042cfdce04ce6018df77f6917e78b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07478",
    "kind": "arxiv",
    "version": 1
  }
}