Pith Number

pith:3EV7VVJ4

pith:2025:3EV7VVJ474IXONQKC7GXLGXPDZ

not attested not anchored not stored refs pending

The eigencurve at crystalline points with scalar Frobenius and Gross-Stark regulators

Adel Betina, Alexandre Maksoud, Alice Pozzi

arxiv:2502.00876 v1 · 2025-02-02 · 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{3EV7VVJ474IXONQKC7GXLGXPDZ}

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	2026-07-05T10:08:39.458755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d92bfad53cff1177360a17cd759aef1e68700aa112f5a9be3656cad8b62fa31a

Aliases

arxiv: 2502.00876 · arxiv_version: 2502.00876v1 · doi: 10.48550/arxiv.2502.00876 · pith_short_12: 3EV7VVJ474IX · pith_short_16: 3EV7VVJ474IXONQK · pith_short_8: 3EV7VVJ4

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/3EV7VVJ474IXONQKC7GXLGXPDZ \
  | 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: d92bfad53cff1177360a17cd759aef1e68700aa112f5a9be3656cad8b62fa31a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc318fe508fffc4981152a51bdfc63371da95afd9f32b3de86e119a1e9fca5ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-02T19:00:56Z",
    "title_canon_sha256": "b50b1df439dd88573b4101f194629b320dcc72c442118cc23e0cb0dbbcedd50e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.00876",
    "kind": "arxiv",
    "version": 1
  }
}