Pith Number

pith:DSYQ77N3

pith:2026:DSYQ77N3O66DAWPNUU2KWPFBNG

not attested not anchored not stored refs pending

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns

Hyungmin Jang, Jungin Lee, Myungjun Yu, Nathan Kaplan

arxiv:2606.06993 v1 · 2026-06-05 · 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{DSYQ77N3O66DAWPNUU2KWPFBNG}

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	2026-06-08T01:04:40.166210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cb10ffdbb77bc3059eda534ab3ca169af6dbefcf92a421a862d9f4c626166d9

Aliases

arxiv: 2606.06993 · arxiv_version: 2606.06993v1 · doi: 10.48550/arxiv.2606.06993 · pith_short_12: DSYQ77N3O66D · pith_short_16: DSYQ77N3O66DAWPN · pith_short_8: DSYQ77N3

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/DSYQ77N3O66DAWPNUU2KWPFBNG \
  | 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: 1cb10ffdbb77bc3059eda534ab3ca169af6dbefcf92a421a862d9f4c626166d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7520e935512ed959fbc0054d4765c23b1aea3f3693ca0a63c1f9f7f8f7d31667",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-05T07:31:59Z",
    "title_canon_sha256": "67bbc2e8389b9240c7bdb552979269da872a178200f4d73ebc3f6f2164d30fba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06993",
    "kind": "arxiv",
    "version": 1
  }
}