Pith Number

pith:UAYNLKVI

pith:2012:UAYNLKVINFGO77JV622OV5VVJO

not attested not anchored not stored refs pending

A note on the tensor product of two random unitary matrices

Tomasz Tkocz

arxiv:1212.1795 v1 · 2012-12-08 · 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{UAYNLKVINFGO77JV622OV5VVJO}

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	2026-05-18T03:32:07.512203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a030d5aaa8694ceffd35f6b4eaf6b54ba1a6d0a2ef6c8d514efeaed63c85d23b

Aliases

arxiv: 1212.1795 · arxiv_version: 1212.1795v1 · doi: 10.48550/arxiv.1212.1795 · pith_short_12: UAYNLKVINFGO · pith_short_16: UAYNLKVINFGO77JV · pith_short_8: UAYNLKVI

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/UAYNLKVINFGO77JV622OV5VVJO \
  | 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: a030d5aaa8694ceffd35f6b4eaf6b54ba1a6d0a2ef6c8d514efeaed63c85d23b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d35b12d9503e63b8e611f9e461e8209e926c9e28562355d8251e56a8c8ef641",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-08T14:17:48Z",
    "title_canon_sha256": "f872d94d8f5fec378e1cee6a0b1d3632f0054f906f9cac2423c092acce03c853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1795",
    "kind": "arxiv",
    "version": 1
  }
}