Pith Number

pith:X4DZCXTT

pith:2024:X4DZCXTTKNAVEJHHUZCMLDP556

not attested not anchored not stored refs pending

Defining newforms in characteristic $p$

Daniel R. Johnston

arxiv:2412.20606 v1 · 2024-12-29 · 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{X4DZCXTTKNAVEJHHUZCMLDP556}

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	2026-07-05T09:55:19.647524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf07915e7353415224e7a644c58dfdefa2996c43bb2fc77a5432d7a096078429

Aliases

arxiv: 2412.20606 · arxiv_version: 2412.20606v1 · doi: 10.48550/arxiv.2412.20606 · pith_short_12: X4DZCXTTKNAV · pith_short_16: X4DZCXTTKNAVEJHH · pith_short_8: X4DZCXTT

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/X4DZCXTTKNAVEJHHUZCMLDP556 \
  | 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: bf07915e7353415224e7a644c58dfdefa2996c43bb2fc77a5432d7a096078429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32f92a5deeb195025897babd13f090e64153be1e47d1ae2ed52f995cd70ab705",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-29T22:27:57Z",
    "title_canon_sha256": "bd8dce89453262090879c004c3fa909054b4cb3b0da551dfc8312d9d71db0943"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20606",
    "kind": "arxiv",
    "version": 1
  }
}