Pith Number

pith:V6WOFIWT

pith:2023:V6WOFIWT5C5H7K6NQFFEVMGUEF

not attested not anchored not stored refs pending

Norm of matrix-valued polynomials in random unitaries and permutations

Benoit Collins, Charles Bordenave

arxiv:2304.05714 v2 · 2023-04-12 · math.PR · math.GR · 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{V6WOFIWT5C5H7K6NQFFEVMGUEF}

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.

Cited by

4 papers in Pith

Amenable absorption in von Neumann algebras of hyperbolic groups

Randomized simulation of quantum channels using small ancilla

Rigid Graph Products

Asymptotic expansion for transport maps between laws of multimatrix models

Receipt and verification

First computed	2026-07-05T07:32:09.330433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aface2a2d3e8ba7fabcd814a4ab0d42166d28bc221908c78503e3b724e1c5a74

Aliases

arxiv: 2304.05714 · arxiv_version: 2304.05714v2 · doi: 10.48550/arxiv.2304.05714 · pith_short_12: V6WOFIWT5C5H · pith_short_16: V6WOFIWT5C5H7K6N · pith_short_8: V6WOFIWT

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/V6WOFIWT5C5H7K6NQFFEVMGUEF \
  | 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: aface2a2d3e8ba7fabcd814a4ab0d42166d28bc221908c78503e3b724e1c5a74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95deba9df3647dfb66c2aefc6079ec715641a2f27b5597153a78ed5dfc393be2",
    "cross_cats_sorted": [
      "math.GR",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-04-12T09:11:14Z",
    "title_canon_sha256": "03963c64359c5c543ef79e87e5e71adf51598597ac970419e52e635d33e57db3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.05714",
    "kind": "arxiv",
    "version": 2
  }
}