Pith Number

pith:HYQUWVV3

pith:2019:HYQUWVV3BE2J5H5LTEZQOOFFPL

not attested not anchored not stored refs pending

Congruences for sporadic sequences and modular forms for non-congruence subgroups

Matija Kazalicki

arxiv:1901.03098 v1 · 2019-01-10 · 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{HYQUWVV3BE2J5H5LTEZQOOFFPL}

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	2026-05-17T23:56:35.570602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e214b56bb09349e9fab99330738a57afbd34f38eae7f61d7dc5a698f619c4d7

Aliases

arxiv: 1901.03098 · arxiv_version: 1901.03098v1 · doi: 10.48550/arxiv.1901.03098 · pith_short_12: HYQUWVV3BE2J · pith_short_16: HYQUWVV3BE2J5H5L · pith_short_8: HYQUWVV3

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/HYQUWVV3BE2J5H5LTEZQOOFFPL \
  | 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: 3e214b56bb09349e9fab99330738a57afbd34f38eae7f61d7dc5a698f619c4d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4822508c9002d9aa178e5582bf8be91e442aa50685118d5c4fd2874649baabbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-01-10T10:57:25Z",
    "title_canon_sha256": "e62de2b225154483ff05a7bcc10fea573fa980c324e67714975c2ffbac425413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03098",
    "kind": "arxiv",
    "version": 1
  }
}