Pith Number

pith:5H35FHAO

pith:2011:5H35FHAOIMRQMJXEY6YQLJH2R6

not attested not anchored not stored refs pending

Quantum invariant families of matrices in free probability

Roland Speicher, Stephen Curran

arxiv:1101.0795 v1 · 2011-01-04 · math.OA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5H35FHAOIMRQMJXEY6YQLJH2R6}

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

1 paper in Pith

Accessing gluon GTMD $F^g_{1,4}$ via the $\langle\sin(2\phi)\rangle$ azimuthal asymmetry of exclusive $\pi^0$ production in $ep$ collisions

Receipt and verification

First computed	2026-05-18T04:32:02.115141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9f7d29c0e43230626e4c7b105a4fa8fb18e5764e02c8067e9bd6c7395af3e5a

Aliases

arxiv: 1101.0795 · arxiv_version: 1101.0795v1 · doi: 10.48550/arxiv.1101.0795 · pith_short_12: 5H35FHAOIMRQ · pith_short_16: 5H35FHAOIMRQMJXE · pith_short_8: 5H35FHAO

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/5H35FHAOIMRQMJXEY6YQLJH2R6 \
  | 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: e9f7d29c0e43230626e4c7b105a4fa8fb18e5764e02c8067e9bd6c7395af3e5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43e952fbe81657e198e80b339a79d4e9626f9dfd365ced21634d633918233b76",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-01-04T19:10:38Z",
    "title_canon_sha256": "be32ce368f05d25ceced504050ac97a6bf96ed36383ac8d3df3ac8ed4bf70a37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0795",
    "kind": "arxiv",
    "version": 1
  }
}