Pith Number

pith:3VFTNP73

pith:2025:3VFTNP73JUUGSRJVTCIMGH7KMR

not attested not anchored not stored refs pending

Modular Units on $X_{1}( p)$ and Quotients of the Cuspidal Group

Elvira Lupoian

arxiv:2502.04084 v1 · 2025-02-06 · 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{3VFTNP73JUUGSRJVTCIMGH7KMR}

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	2026-07-05T10:10:33.899639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd4b36bffb4d286945359890c31fea646e57cf53d16589f7c04da38de3ca546d

Aliases

arxiv: 2502.04084 · arxiv_version: 2502.04084v1 · doi: 10.48550/arxiv.2502.04084 · pith_short_12: 3VFTNP73JUUG · pith_short_16: 3VFTNP73JUUGSRJV · pith_short_8: 3VFTNP73

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/3VFTNP73JUUGSRJVTCIMGH7KMR \
  | 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: dd4b36bffb4d286945359890c31fea646e57cf53d16589f7c04da38de3ca546d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d02564f755e7a72a33753e301c3b55130740b2a038259d0db331870024bb3e9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-06T13:53:17Z",
    "title_canon_sha256": "f21613c82de28c42529a331ef8b82aaa669bfc2091b4f3109ab6ac609bf98d11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.04084",
    "kind": "arxiv",
    "version": 1
  }
}