Pith Number

pith:Q4FOXYSS

pith:2010:Q4FOXYSSWN34KQG2KCTSFC5MJP

not attested not anchored not stored refs pending

Summing free unitary random matrices

Andrzej Jarosz

arxiv:1010.5220 v2 · 2010-10-25 · math-ph · cond-mat.stat-mech · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4FOXYSSWN34KQG2KCTSFC5MJP}

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	2026-05-18T02:04:58.743376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

870aebe252b377c540da50a7228bac4be6fd9e9f21bf1daf2eeaa79e618e1d0f

Aliases

arxiv: 1010.5220 · arxiv_version: 1010.5220v2 · doi: 10.48550/arxiv.1010.5220 · pith_short_12: Q4FOXYSSWN34 · pith_short_16: Q4FOXYSSWN34KQG2 · pith_short_8: Q4FOXYSS

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/Q4FOXYSSWN34KQG2KCTSFC5MJP \
  | 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: 870aebe252b377c540da50a7228bac4be6fd9e9f21bf1daf2eeaa79e618e1d0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccb8c6f0695fc4a16e34bb28e4a49dbd3a6bc53caddee9ac88a66093ab19507e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-25T19:02:01Z",
    "title_canon_sha256": "2f1f7620e598943526733a40cd4f987e000271c5d3ee9f588d74841bced39704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5220",
    "kind": "arxiv",
    "version": 2
  }
}