Pith Number

pith:3RUATSHS

pith:2016:3RUATSHSBXK4OP6GIRCCRRLMN5

not attested not anchored not stored refs pending

Detecting large simple rational Hecke modules for $\Gamma_0(N)$ via congruences

George J. Schaeffer, Michael Lipnowski

arxiv:1610.09690 v1 · 2016-10-30 · 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{3RUATSHSBXK4OP6GIRCCRRLMN5}

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	2026-05-18T01:00:51.285900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc6809c8f20dd5c73fc6444428c56c6f708a5b559d0c3ff9811ba89286a44297

Aliases

arxiv: 1610.09690 · arxiv_version: 1610.09690v1 · doi: 10.48550/arxiv.1610.09690 · pith_short_12: 3RUATSHSBXK4 · pith_short_16: 3RUATSHSBXK4OP6G · pith_short_8: 3RUATSHS

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/3RUATSHSBXK4OP6GIRCCRRLMN5 \
  | 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: dc6809c8f20dd5c73fc6444428c56c6f708a5b559d0c3ff9811ba89286a44297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "882921d4bca5a3a61bfeb3fe8068af8027375f63ddeb1225a75ef57bed29d0e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-30T18:34:47Z",
    "title_canon_sha256": "135bf457f519a6dc791be126dfe9568990d306f6644af87cf919e9af62c62ef5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09690",
    "kind": "arxiv",
    "version": 1
  }
}