Pith Number

pith:VNTUDDAJ

pith:2018:VNTUDDAJJZNYBRAALQVXNDNPT7

not attested not anchored not stored refs pending

On a family of a linear maps from $M_{n}(\mathbb{C})$ to $M_{n^{2}}(\mathbb{C})$

Benoit Collins, Gunjan Sapra, Hiroyuki Osaka

arxiv:1802.07553 v1 · 2018-02-21 · math-ph · 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{VNTUDDAJJZNYBRAALQVXNDNPT7}

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	2026-05-17T23:52:44.243026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab67418c094e5b80c4005c2b768daf9fe0a240135737ca7caeb7d292a031ce24

Aliases

arxiv: 1802.07553 · arxiv_version: 1802.07553v1 · doi: 10.48550/arxiv.1802.07553 · pith_short_12: VNTUDDAJJZNY · pith_short_16: VNTUDDAJJZNYBRAA · pith_short_8: VNTUDDAJ

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/VNTUDDAJJZNYBRAALQVXNDNPT7 \
  | 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: ab67418c094e5b80c4005c2b768daf9fe0a240135737ca7caeb7d292a031ce24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a28288e43361cfebf503dc7bf9a54f12069b40d64b0851dbb5a6511357e3c422",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-02-21T13:10:38Z",
    "title_canon_sha256": "5179c899c98a3134b1cd21bba799863c5af0f532e9f870c8e4429710624a3634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07553",
    "kind": "arxiv",
    "version": 1
  }
}