Pith Number

pith:C2325H4Y

pith:2019:C2325H4YV4NP7H7K3FNOLRLPAC

not attested not anchored not stored refs pending

Lower bound for class number of certain real quadratic fields

Mohit Mishra

arxiv:1906.09718 v2 · 2019-06-24 · 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{C2325H4YV4NP7H7K3FNOLRLPAC}

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	2026-05-17T23:40:48.689618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16b7ae9f98af1aff9fead95ae5c56f00949ac92c7d224c931b8cc8538b8c891c

Aliases

arxiv: 1906.09718 · arxiv_version: 1906.09718v2 · doi: 10.48550/arxiv.1906.09718 · pith_short_12: C2325H4YV4NP · pith_short_16: C2325H4YV4NP7H7K · pith_short_8: C2325H4Y

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/C2325H4YV4NP7H7K3FNOLRLPAC \
  | 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: 16b7ae9f98af1aff9fead95ae5c56f00949ac92c7d224c931b8cc8538b8c891c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9be3de610be84bf4ebadbae4012c8afef17ee015353f3d5b843d3937cf997c2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-24T04:27:21Z",
    "title_canon_sha256": "06a9b6e75123458b9309b6beb891668421057bd60a826b6ac2a38b95a4de7415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09718",
    "kind": "arxiv",
    "version": 2
  }
}