Pith Number

pith:SK5APGSL

pith:2017:SK5APGSLIHBVCMAKJBCMX4VQQ2

not attested not anchored not stored refs pending

Generators and relations for the shallow mod 2 Hecke algebra in levels $\Gamma_{0}(3)$ and $\Gamma_{0}(5)$

Paul Monsky

arxiv:1703.04193 v1 · 2017-03-12 · 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{SK5APGSLIHBVCMAKJBCMX4VQQ2}

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	2026-05-18T00:48:49.504865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92ba079a4b41c351300a4844cbf2b0868d955cf2a5a1d21d6fdec5aeafb832b8

Aliases

arxiv: 1703.04193 · arxiv_version: 1703.04193v1 · doi: 10.48550/arxiv.1703.04193 · pith_short_12: SK5APGSLIHBV · pith_short_16: SK5APGSLIHBVCMAK · pith_short_8: SK5APGSL

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/SK5APGSLIHBVCMAKJBCMX4VQQ2 \
  | 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: 92ba079a4b41c351300a4844cbf2b0868d955cf2a5a1d21d6fdec5aeafb832b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1289057fe4eb2d573675e50c12eda4452da186c904cddca43f3ba0c55df7b1a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-12T23:05:05Z",
    "title_canon_sha256": "98ff0c0489084700952af3561de8aa867ed3e7b771018d4512719f444d4f59ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04193",
    "kind": "arxiv",
    "version": 1
  }
}