Pith Number

pith:USHSI7PK

pith:1996:USHSI7PKYIBPIGELT4OSDPXRII

not attested not anchored not stored refs pending

Secular determinants of random unitary matrices

Fritz Haake, Hans--J\"urgen Sommers, Henning Schomerus, Karol \.Zyczkowski, Marek Ku\'s

arxiv:chao-dyn/9603006 v1 · 1996-03-12 · chao-dyn · cond-mat · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{USHSI7PKYIBPIGELT4OSDPXRII}

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	2026-05-18T01:09:21.204407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a48f247deac202f4188b9f1d21bef14220c58e40fd88f53e6603700d9f061c80

Aliases

arxiv: chao-dyn/9603006 · arxiv_version: chao-dyn/9603006v1 · doi: 10.48550/arxiv.chao-dyn/9603006 · pith_short_12: USHSI7PKYIBP · pith_short_16: USHSI7PKYIBPIGEL · pith_short_8: USHSI7PK

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/USHSI7PKYIBPIGELT4OSDPXRII \
  | 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: a48f247deac202f4188b9f1d21bef14220c58e40fd88f53e6603700d9f061c80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce246445b156033fe5ae1787b259ce63243fe16d88c803aeca5c5d6670aea09",
    "cross_cats_sorted": [
      "cond-mat",
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1996-03-12T16:35:54Z",
    "title_canon_sha256": "dc3d6050b7b425d48a7590038cfea0faed39d4224e6e8726a8f09d5167f644e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9603006",
    "kind": "arxiv",
    "version": 1
  }
}