Pith Number

pith:WCR6V5CH

pith:2018:WCR6V5CHI5B4VSDQNSEXUJFNYI

not attested not anchored not stored refs pending

The rings of Hilbert modular forms for $\mathbb{Q}(\sqrt{29})$ and $\mathbb{Q}(\sqrt{37})$

Brandon Williams

arxiv:1809.08623 v2 · 2018-09-23 · 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{WCR6V5CHI5B4VSDQNSEXUJFNYI}

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	2026-05-18T00:04:35.371181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0a3eaf4474743cac8706c897a24adc2044abd76f2fb5017e6e4ad14c067e218

Aliases

arxiv: 1809.08623 · arxiv_version: 1809.08623v2 · doi: 10.48550/arxiv.1809.08623 · pith_short_12: WCR6V5CHI5B4 · pith_short_16: WCR6V5CHI5B4VSDQ · pith_short_8: WCR6V5CH

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/WCR6V5CHI5B4VSDQNSEXUJFNYI \
  | 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: b0a3eaf4474743cac8706c897a24adc2044abd76f2fb5017e6e4ad14c067e218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c98a5a98e633024168c2bf7a345069a71bf4e92066f8978622127acfac2042da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-23T16:11:31Z",
    "title_canon_sha256": "149bb34ae27529b7f3a69f8a6df7f5aecb2a20cde4f7279dbb2408350ec019ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08623",
    "kind": "arxiv",
    "version": 2
  }
}