Pith Number

pith:KMHM66O5

pith:2026:KMHM66O57OQUCYKLEQ56SSPSXX

not attested not anchored not stored refs pending

Eigenvalue Distribution of $p$-adic Random Matrices Among Algebraic Extensions, with an Analogue for $p$-adic Random Polynomials

Jiahe Shen

arxiv:2605.20444 v1 · 2026-05-19 · math.NT · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMHM66O57OQUCYKLEQ56SSPSXX}

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	2026-05-21T01:04:38.220038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

530ecf79ddfba141614b243be949f2bdc6c26307ddecd3d6f2bee6ed6dac8b27

Aliases

arxiv: 2605.20444 · arxiv_version: 2605.20444v1 · doi: 10.48550/arxiv.2605.20444 · pith_short_12: KMHM66O57OQU · pith_short_16: KMHM66O57OQUCYKL · pith_short_8: KMHM66O5

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/KMHM66O57OQUCYKLEQ56SSPSXX \
  | 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: 530ecf79ddfba141614b243be949f2bdc6c26307ddecd3d6f2bee6ed6dac8b27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "846824c3eb8a046e88c8708d64a7bf92553ff30543abe00ea4b1a274969a6f21",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-19T19:56:04Z",
    "title_canon_sha256": "3fe26cbeee1493ebf8858a273cf82237fc45a6b7dd68f7b7113a0ed3d6670f04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20444",
    "kind": "arxiv",
    "version": 1
  }
}