Pith Number

pith:HOWI5EQW

pith:2025:HOWI5EQWG4APFFWOXOVD536UFI

not attested not anchored not stored refs pending

Modular analogs of character formulas and minimal lifts of modular forms

Patrick B. Allen, Preston Wake

arxiv:2509.21426 v2 · 2025-09-25 · math.NT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOWI5EQWG4APFFWOXOVD536UFI}

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	2026-05-29T02:05:36.403861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bac8e92163700f296cebbaa3eefd42a2fa9fde85f5fb7c131ce2c5605ecd6fd

Aliases

arxiv: 2509.21426 · arxiv_version: 2509.21426v2 · doi: 10.48550/arxiv.2509.21426 · pith_short_12: HOWI5EQWG4AP · pith_short_16: HOWI5EQWG4APFFWO · pith_short_8: HOWI5EQW

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/HOWI5EQWG4APFFWOXOVD536UFI \
  | 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: 3bac8e92163700f296cebbaa3eefd42a2fa9fde85f5fb7c131ce2c5605ecd6fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e73a7c0c0ee0ef89815e3a79f81fa37c9a2314de09932b815f1851d36b013044",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-09-25T11:21:36Z",
    "title_canon_sha256": "775731031df06bc4df872bfdcfb249352c6082b9adaa42d0584fcf605f98c4d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.21426",
    "kind": "arxiv",
    "version": 2
  }
}