Pith Number

pith:ZEQEBU23

pith:2008:ZEQEBU23P2CH4MZ6VH6VA75LUL

not attested not anchored not stored refs pending

Asymptotic formulas for partial sums of class numbers of indefinite binary quadratic forms

Yasufumi Hashimoto

arxiv:0807.0056 v2 · 2008-07-01 · 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{ZEQEBU23P2CH4MZ6VH6VA75LUL}

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	2026-05-18T02:27:49.955441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c92040d35b7e847e333ea9fd507faba2f44046fa4aac6e23109b18a806783ac7

Aliases

arxiv: 0807.0056 · arxiv_version: 0807.0056v2 · doi: 10.48550/arxiv.0807.0056 · pith_short_12: ZEQEBU23P2CH · pith_short_16: ZEQEBU23P2CH4MZ6 · pith_short_8: ZEQEBU23

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/ZEQEBU23P2CH4MZ6VH6VA75LUL \
  | 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: c92040d35b7e847e333ea9fd507faba2f44046fa4aac6e23109b18a806783ac7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c21325eeaf0a7c7c307a4d46673eed91f17e4d523534f5fe4906927967bd5da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-07-01T01:43:34Z",
    "title_canon_sha256": "45031eefdc066360fb48bacb6c4392cd52228c1c6364f5381573472ca30a404b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.0056",
    "kind": "arxiv",
    "version": 2
  }
}