Pith Number

pith:RLKCEC5D

pith:2008:RLKCEC5D3SAZK3LKYDTDJXPX4P

not attested not anchored not stored refs pending

Bulk Universality for Unitary Matrix Models

Mihail Poplavskyi

arxiv:0804.3165 v2 · 2008-04-19 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RLKCEC5D3SAZK3LKYDTDJXPX4P}

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	2026-05-18T03:19:44.358947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ad4220ba3dc81956d6ac0e634ddf7e3e4d3204adb1ca16bc30e98db8bc430a0

Aliases

arxiv: 0804.3165 · arxiv_version: 0804.3165v2 · doi: 10.48550/arxiv.0804.3165 · pith_short_12: RLKCEC5D3SAZ · pith_short_16: RLKCEC5D3SAZK3LK · pith_short_8: RLKCEC5D

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/RLKCEC5D3SAZK3LKYDTDJXPX4P \
  | 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: 8ad4220ba3dc81956d6ac0e634ddf7e3e4d3204adb1ca16bc30e98db8bc430a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2a5ebc568de0bb1af8ac78613a0a603a513a6551233801cbc71612ca0987710",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-04-19T20:47:01Z",
    "title_canon_sha256": "6a35ede30d941d6e187fd888c555e8e529b89c3f1fcc110a0eb89ff9876fceea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3165",
    "kind": "arxiv",
    "version": 2
  }
}