Pith Number

pith:3HT422OH

pith:2013:3HT422OHOHB5JCRBX4PCMLEMEU

not attested not anchored not stored refs pending

Hecke and Sturm bounds for Hilbert modular forms over real quadratic fields

Ariel Pacetti, Jose Ignacio Burgos Gil

arxiv:1310.6991 v1 · 2013-10-25 · 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{3HT422OHOHB5JCRBX4PCMLEMEU}

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	2026-05-18T03:08:48.823030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9e7cd69c771c3d48a21bf1e262c8c252eabe848aad66dc4c4af06fade76267f

Aliases

arxiv: 1310.6991 · arxiv_version: 1310.6991v1 · doi: 10.48550/arxiv.1310.6991 · pith_short_12: 3HT422OHOHB5 · pith_short_16: 3HT422OHOHB5JCRB · pith_short_8: 3HT422OH

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/3HT422OHOHB5JCRBX4PCMLEMEU \
  | 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: d9e7cd69c771c3d48a21bf1e262c8c252eabe848aad66dc4c4af06fade76267f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e6a561123c9e0deec35f80c06f7dae6d5fbaf24ef203a279a034be4b3e20409",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-25T17:55:41Z",
    "title_canon_sha256": "90bb69cbb7323b7e551de5d3d31912e4abd667aa3829845fd28559401f20ce68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6991",
    "kind": "arxiv",
    "version": 1
  }
}