Pith Number

pith:EIXZY6DV

pith:2012:EIXZY6DV4OZPIBCEISXMLDDQ2O

not attested not anchored not stored refs pending

The Twisted Second Moment of the Dedekind Zeta Function of a Quadratic Field

Winston Heap

arxiv:1211.2182 v1 · 2012-11-09 · 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{EIXZY6DV4OZPIBCEISXMLDDQ2O}

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	2026-05-18T03:41:11.498330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

222f9c7875e3b2f4044444aec58c70d3bfa4fe8bfd6e4f54dbbde87ea03b6042

Aliases

arxiv: 1211.2182 · arxiv_version: 1211.2182v1 · doi: 10.48550/arxiv.1211.2182 · pith_short_12: EIXZY6DV4OZP · pith_short_16: EIXZY6DV4OZPIBCE · pith_short_8: EIXZY6DV

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/EIXZY6DV4OZPIBCEISXMLDDQ2O \
  | 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: 222f9c7875e3b2f4044444aec58c70d3bfa4fe8bfd6e4f54dbbde87ea03b6042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c41a9883daae53d73e16380c4cb0a3ed33f349c18f41030b285c19b13a606d7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-09T16:39:17Z",
    "title_canon_sha256": "38e15b39f317d55a66ec0e0a784d04c7e1c8dcaaf8ba006b99b12c58a7e8aee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2182",
    "kind": "arxiv",
    "version": 1
  }
}