Pith Number

pith:2VKKWC4T

pith:2010:2VKKWC4TWESSIUPUH45XXWUYIA

not attested not anchored not stored refs pending

Asymptotic formulas for class number sums of indefinite binary quadratic forms in arithmetic progressions

Yasufumi Hashimoto

arxiv:1003.3716 v2 · 2010-03-19 · math.NT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2VKKWC4TWESSIUPUH45XXWUYIA}

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	2026-05-18T02:27:49.888932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d554ab0b93b1252451f43f3b7bda98401b48346ba8ab1b579ffc2d322c632b03

Aliases

arxiv: 1003.3716 · arxiv_version: 1003.3716v2 · doi: 10.48550/arxiv.1003.3716 · pith_short_12: 2VKKWC4TWESS · pith_short_16: 2VKKWC4TWESSIUPU · pith_short_8: 2VKKWC4T

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/2VKKWC4TWESSIUPUH45XXWUYIA \
  | 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: d554ab0b93b1252451f43f3b7bda98401b48346ba8ab1b579ffc2d322c632b03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7693bd6ef61330bee0dc1408252c244434713539769972e67f52126d81f94ce6",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-03-19T05:38:57Z",
    "title_canon_sha256": "833e5e4116a6a246a0966cc5f7456a8f023bd19ac90877f245575d1604e6460b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3716",
    "kind": "arxiv",
    "version": 2
  }
}