Pith Number

pith:6KGEXRBG

pith:2026:6KGEXRBGGTER6BKZLI77HEKL43

not attested not anchored not stored refs pending

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method

Jiahe Shen

arxiv:2608.06576 v1 · 2026-08-06 · math.PR · 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{6KGEXRBGGTER6BKZLI77HEKL43}

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	2026-08-10T01:11:19.806624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f28c4bc42634c91f05595a3ff3914be6fe3a6e82f291cd2656010f48082c57bf

Aliases

arxiv: 2608.06576 · arxiv_version: 2608.06576v1 · doi: 10.48550/arxiv.2608.06576 · pith_short_12: 6KGEXRBGGTER · pith_short_16: 6KGEXRBGGTER6BKZ · pith_short_8: 6KGEXRBG

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/6KGEXRBGGTER6BKZLI77HEKL43 \
  | 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: f28c4bc42634c91f05595a3ff3914be6fe3a6e82f291cd2656010f48082c57bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d5cff571dfaa708878f1d5232f533594998aeff0698aea32b578b3014ac2163",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-08-06T20:38:06Z",
    "title_canon_sha256": "a1652166b59a6951af69af4cdd0ec172d1891596931beedda57cf0e42cf9b661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06576",
    "kind": "arxiv",
    "version": 1
  }
}