Pith Number

pith:DHGW2MN3

pith:2026:DHGW2MN3A5FKZJPZFU34ZUNBEG

not attested not anchored not stored refs pending

A Sudakov--Fernique proof of Lehner-type edge bounds for matrix-valued GUE sums

Benoit Collins, Yuta Yamagishi

arxiv:2606.21137 v1 · 2026-06-19 · math.PR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DHGW2MN3A5FKZJPZFU34ZUNBEG}

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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.

Receipt and verification

First computed	2026-06-23T01:12:31.068687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19cd6d31bb074aaca5f92d37ccd1a121978dcd14f3334919981d767de4c35700

Aliases

arxiv: 2606.21137 · arxiv_version: 2606.21137v1 · doi: 10.48550/arxiv.2606.21137 · pith_short_12: DHGW2MN3A5FK · pith_short_16: DHGW2MN3A5FKZJPZ · pith_short_8: DHGW2MN3

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/DHGW2MN3A5FKZJPZFU34ZUNBEG \
  | 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: 19cd6d31bb074aaca5f92d37ccd1a121978dcd14f3334919981d767de4c35700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88848797a361786619a736684720cc46437468fe19f23ea156b17ac1e4e2a608",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-19T06:22:37Z",
    "title_canon_sha256": "f47940ef8c314600b8f15e8470ae4fbbb4907484f3ffd66fae1cc9b847cc3da2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21137",
    "kind": "arxiv",
    "version": 1
  }
}