Pith Number

pith:DZPD3KGI

pith:2012:DZPD3KGIGBR3W7PZSRCTIPM6NL

not attested not anchored not stored refs pending

Preimages for the Shimura map on Hilbert modular forms

Nicol\'as Sirolli

arxiv:1208.4011 v3 · 2012-08-20 · 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{DZPD3KGIGBR3W7PZSRCTIPM6NL}

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	2026-05-18T02:41:59.812722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e5e3da8c83063bb7df99445343d9e6aeb898b4517c68c1f33a34a1d1726a3ed

Aliases

arxiv: 1208.4011 · arxiv_version: 1208.4011v3 · doi: 10.48550/arxiv.1208.4011 · pith_short_12: DZPD3KGIGBR3 · pith_short_16: DZPD3KGIGBR3W7PZ · pith_short_8: DZPD3KGI

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/DZPD3KGIGBR3W7PZSRCTIPM6NL \
  | 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: 1e5e3da8c83063bb7df99445343d9e6aeb898b4517c68c1f33a34a1d1726a3ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82b8d12adbed673b34a761f2e5d69fb7596952736f3c26dce7587c63275a598",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-20T14:00:00Z",
    "title_canon_sha256": "b9f14f9cddd65cb82b27f4b7a97503edbe0c9318a818fa35b1f003262c62245b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4011",
    "kind": "arxiv",
    "version": 3
  }
}