Pith Number

pith:VHPPWLTY

pith:2018:VHPPWLTYM37H7LXAXTD3KEXSD5

not attested not anchored not stored refs pending

Schur multipliers and mixed unitary maps

Mizanur Rahaman, Rupert H. Levene, Samuel J. Harris, Sarah Plosker, Vern I. Paulsen

arxiv:1807.06491 v2 · 2018-07-17 · quant-ph · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHPPWLTYM37H7LXAXTD3KEXSD5}

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	2026-05-18T00:00:13.028326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9defb2e7866fe7faee0bcc7b512f21f7a4d1f6116ea2bb1b4df7b97c3327810

Aliases

arxiv: 1807.06491 · arxiv_version: 1807.06491v2 · doi: 10.48550/arxiv.1807.06491 · pith_short_12: VHPPWLTYM37H · pith_short_16: VHPPWLTYM37H7LXA · pith_short_8: VHPPWLTY

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/VHPPWLTYM37H7LXAXTD3KEXSD5 \
  | 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: a9defb2e7866fe7faee0bcc7b512f21f7a4d1f6116ea2bb1b4df7b97c3327810

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153cc518d6f2ce29dfb2b08bced752e6d9ccb29f172bec59af475cc2b45a3bdd",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-07-17T15:16:39Z",
    "title_canon_sha256": "58b0fcba51b22c1abed65248108d60914775270c61c20cb902d2149cc03e7357"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06491",
    "kind": "arxiv",
    "version": 2
  }
}