Pith Number

pith:LRXZ6NBD

pith:2024:LRXZ6NBDZ4W3X2T2IJRXERX5XT

not attested not anchored not stored refs pending

Hilbert's tenth problem for families of $ \mathbb{Z}_p $-extensions of imaginary quadratic fields

Anwesh Ray, Katharina M\"uller

arxiv:2406.01443 v1 · 2024-06-03 · 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{LRXZ6NBDZ4W3X2T2IJRXERX5XT}

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.

Cited by

1 paper in Pith

Mazur's growth number conjecture and congruences

Receipt and verification

First computed	2026-07-05T08:26:39.899480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c6f9f3423cf2dbbea7a42637246fdbcdfc943ee800ea5e80118f37f379d08d5

Aliases

arxiv: 2406.01443 · arxiv_version: 2406.01443v1 · doi: 10.48550/arxiv.2406.01443 · pith_short_12: LRXZ6NBDZ4W3 · pith_short_16: LRXZ6NBDZ4W3X2T2 · pith_short_8: LRXZ6NBD

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/LRXZ6NBDZ4W3X2T2IJRXERX5XT \
  | 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: 5c6f9f3423cf2dbbea7a42637246fdbcdfc943ee800ea5e80118f37f379d08d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b9cbbfc680f1f33a204e83159bec7b63d51b50b2cc335a8fe0c013cc8897581",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-06-03T15:33:36Z",
    "title_canon_sha256": "8adbcbe063a7ac042743ce3d69755e6bb5e7a26c66916f77d9a0e0f85403e7b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.01443",
    "kind": "arxiv",
    "version": 1
  }
}