Pith Number

pith:2OIA3XDC

pith:2026:2OIA3XDCO24NL4ZY755N2XCSRV

not attested not anchored not stored refs pending

On the role of higher roots in prime ideal races

Mounir Hayani

arxiv:2607.23150 v1 · 2026-07-25 · 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{2OIA3XDCO24NL4ZY755N2XCSRV}

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	2026-07-28T01:22:09.551041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3900ddc6276b8d5f338ff7add5c528d6b81c3dd1e4bfa8224955224daf27145

Aliases

arxiv: 2607.23150 · arxiv_version: 2607.23150v1 · doi: 10.48550/arxiv.2607.23150 · pith_short_12: 2OIA3XDCO24N · pith_short_16: 2OIA3XDCO24NL4ZY · pith_short_8: 2OIA3XDC

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/2OIA3XDCO24NL4ZY755N2XCSRV \
  | 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: d3900ddc6276b8d5f338ff7add5c528d6b81c3dd1e4bfa8224955224daf27145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "520e05a71a7caae3df16dbc58401254dea31bc97e824efd69d7651f5d214b5fa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-25T11:06:13Z",
    "title_canon_sha256": "9c3960e0d4ee3f2d0a3781bf2b8b55e3f5687f2e2170aa88105be94d81f37036"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23150",
    "kind": "arxiv",
    "version": 1
  }
}