Pith Number

pith:BOFBK4RI

pith:2025:BOFBK4RIYJTE27DGMZ4AOCE24M

not attested not anchored not stored refs pending

$q$-deformed Perelomov-Popov measures and quantized free probability

Panagiotis Zografos

arxiv:2501.03213 v1 · 2025-01-06 · 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{BOFBK4RIYJTE27DGMZ4AOCE24M}

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	2026-07-05T09:57:33.249478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b8a157228c2664d7c66667807089ae32c1e23eaeb76b88ef86b0f8e62a89a27

Aliases

arxiv: 2501.03213 · arxiv_version: 2501.03213v1 · doi: 10.48550/arxiv.2501.03213 · pith_short_12: BOFBK4RIYJTE · pith_short_16: BOFBK4RIYJTE27DG · pith_short_8: BOFBK4RI

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/BOFBK4RIYJTE27DGMZ4AOCE24M \
  | 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: 0b8a157228c2664d7c66667807089ae32c1e23eaeb76b88ef86b0f8e62a89a27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfa16e3cf152d51351f702d4773a0879b36aec3f0ba71f67897bf1fcc5cc094b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-06T18:47:25Z",
    "title_canon_sha256": "ab9f6daa6d79beff9fc756da3b44e6af04d70c2ae9f6cd29478470155074806c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.03213",
    "kind": "arxiv",
    "version": 1
  }
}