Pith Number

pith:3SOQO5OO

pith:2018:3SOQO5OOY3TM5YLZZA5NE7HLRH

not attested not anchored not stored refs pending

Modular forms invariant under non-split Cartan subgroups

Pietro Mercuri, Rene Schoof

arxiv:1805.06873 v1 · 2018-05-17 · 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{3SOQO5OOY3TM5YLZZA5NE7HLRH}

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	2026-05-18T00:15:43.063058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc9d0775cec6e6cee179c83ad27ceb89e7994018f13bccea43ff8630d0d73c9e

Aliases

arxiv: 1805.06873 · arxiv_version: 1805.06873v1 · doi: 10.48550/arxiv.1805.06873 · pith_short_12: 3SOQO5OOY3TM · pith_short_16: 3SOQO5OOY3TM5YLZ · pith_short_8: 3SOQO5OO

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/3SOQO5OOY3TM5YLZZA5NE7HLRH \
  | 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: dc9d0775cec6e6cee179c83ad27ceb89e7994018f13bccea43ff8630d0d73c9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36efbf6661656d29dd5e6ff2b2fe108f0f206c56308ac73cefc838331f39272c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-17T17:28:05Z",
    "title_canon_sha256": "992e71158b1bf5a0e21ae20d1df44ca3315fd9bc0ffb0fd84413ffc7dec59500"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06873",
    "kind": "arxiv",
    "version": 1
  }
}