Pith Number

pith:2KMAP7FA

pith:2023:2KMAP7FAR3EJXGQWWP3N2NZIOB

not attested not anchored not stored refs pending

The distribution of the cokernel of a polynomial evaluated at a random integral matrix

GilYoung Cheong, Myungjun Yu

arxiv:2303.09125 v3 · 2023-03-16 · math.NT · math.CO · 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{2KMAP7FAR3EJXGQWWP3N2NZIOB}

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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

3 papers in Pith

Universality for cokernels of partially random integral matrices

Distribution of Sandpile groups of random directed bipartite graphs

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

Receipt and verification

First computed	2026-07-05T07:03:22.563428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d29807fca08ec89b9a16b3f6dd372870747b16bff232053824b3a737579862bb

Aliases

arxiv: 2303.09125 · arxiv_version: 2303.09125v3 · doi: 10.48550/arxiv.2303.09125 · pith_short_12: 2KMAP7FAR3EJ · pith_short_16: 2KMAP7FAR3EJXGQW · pith_short_8: 2KMAP7FA

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/2KMAP7FAR3EJXGQWWP3N2NZIOB \
  | 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: d29807fca08ec89b9a16b3f6dd372870747b16bff232053824b3a737579862bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a39555f9b2ec60b30ad0058f3cf216bb330e043307bbf8511925f52a28d4deb8",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-03-16T07:40:59Z",
    "title_canon_sha256": "94f4e77175ed35bd8e1aa5dcbc7bd79a386db1c60f40ccf61ee0c305813782c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.09125",
    "kind": "arxiv",
    "version": 3
  }
}