Pith Number

pith:6Z4A4PEX

pith:2012:6Z4A4PEXRDPN3TRL6PUVXDOWF5

not attested not anchored not stored refs pending

New spectral relations between products and powers of isotropic random matrices

A. Swiech, M.A. Nowak, Z. Burda

arxiv:1205.1625 v2 · 2012-05-08 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6Z4A4PEXRDPN3TRL6PUVXDOWF5}

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	2026-05-18T03:22:41.454666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6780e3c9788deddce2bf3e95b8dd62f525f5b213611a0fd8ec726a03fe284c7

Aliases

arxiv: 1205.1625 · arxiv_version: 1205.1625v2 · doi: 10.48550/arxiv.1205.1625 · pith_short_12: 6Z4A4PEXRDPN · pith_short_16: 6Z4A4PEXRDPN3TRL · pith_short_8: 6Z4A4PEX

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/6Z4A4PEXRDPN3TRL6PUVXDOWF5 \
  | 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: f6780e3c9788deddce2bf3e95b8dd62f525f5b213611a0fd8ec726a03fe284c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13614ae3fe72f91b2b2841286620196d64ed2ea3a11227d415d3a4d0ee9bebd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-05-08T08:14:17Z",
    "title_canon_sha256": "c6bb03cbfe96fa97bce93702b9182bd8013f639012e39de93f0d62ecb52d78d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1625",
    "kind": "arxiv",
    "version": 2
  }
}