Pith Number

pith:VIZ4N46S

pith:2026:VIZ4N46S24VQFC3NLDRMEFKT4J

not attested not anchored not stored refs pending

Universality of the cokernels of random $p$-adic matrices with inhomogeneously balanced columns

Jungin Lee, Sungjin Park

arxiv:2606.02180 v1 · 2026-06-01 · 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{VIZ4N46S24VQFC3NLDRMEFKT4J}

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	2026-06-02T03:04:52.501252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa33c6f3d2d72b028b6d58e2c21553e24270b4f33c6abf64742fc3b40e6215f5

Aliases

arxiv: 2606.02180 · arxiv_version: 2606.02180v1 · doi: 10.48550/arxiv.2606.02180 · pith_short_12: VIZ4N46S24VQ · pith_short_16: VIZ4N46S24VQFC3N · pith_short_8: VIZ4N46S

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/VIZ4N46S24VQFC3NLDRMEFKT4J \
  | 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: aa33c6f3d2d72b028b6d58e2c21553e24270b4f33c6abf64742fc3b40e6215f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc84665ca0794cc185abfe2458fd79376b9c581838f90612306e22eafc850832",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-01T12:37:15Z",
    "title_canon_sha256": "d8e91e1dc6dbe0456eb1a5250908b0c2c45133e6e05b4f54bbba7322835009f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02180",
    "kind": "arxiv",
    "version": 1
  }
}