Pith Number

pith:4N56NLHH

pith:2026:4N56NLHHXJFGVKHTFG2UFBYZCN

not attested not anchored not stored refs pending

The Case of the Second Smallest Modulus: or why we cannot be arbitrarily careless?

Katalin Gyarmati

arxiv:2606.05251 v1 · 2026-06-03 · 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{4N56NLHHXJFGVKHTFG2UFBYZCN}

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	2026-06-05T00:13:50.549971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e37be6ace7ba4a6aa8f329b542871913753f5ecbb0717188502b257ce83470ed

Aliases

arxiv: 2606.05251 · arxiv_version: 2606.05251v1 · doi: 10.48550/arxiv.2606.05251 · pith_short_12: 4N56NLHHXJFG · pith_short_16: 4N56NLHHXJFGVKHT · pith_short_8: 4N56NLHH

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/4N56NLHHXJFGVKHTFG2UFBYZCN \
  | 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: e37be6ace7ba4a6aa8f329b542871913753f5ecbb0717188502b257ce83470ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feaae8a481cdfdbd7c5d017b4e05f9571be2716ed1250440a593637b1df40cf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-03T13:54:39Z",
    "title_canon_sha256": "9fb1d21bd4cf40bcde59ce9e7e8bf157058801e0ded011b1ae97e5f865e7dfdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05251",
    "kind": "arxiv",
    "version": 1
  }
}