Pith Number

pith:5GBLHZOX

pith:2018:5GBLHZOXJRW5E75NFED6FLIND3

not attested not anchored not stored refs pending

Robust Hadamard matrices, unistochastic rays in Birkhoff polytope and equi-entangled bases in composite spaces

Adam G\k{a}siorowski, Grzegorz Rajchel-Mieldzio\'c, Karol \.Zyczkowski

arxiv:1804.10715 v2 · 2018-04-28 · math.CO · 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{5GBLHZOXJRW5E75NFED6FLIND3}

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	2026-05-21T01:05:01.245986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e982b3e5d74c6dd27fad2907e2ad0d1ee8c5daedc8b9938b343e4b93d8db8b87

Aliases

arxiv: 1804.10715 · arxiv_version: 1804.10715v2 · doi: 10.48550/arxiv.1804.10715 · pith_short_12: 5GBLHZOXJRW5 · pith_short_16: 5GBLHZOXJRW5E75N · pith_short_8: 5GBLHZOX

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/5GBLHZOXJRW5E75NFED6FLIND3 \
  | 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: e982b3e5d74c6dd27fad2907e2ad0d1ee8c5daedc8b9938b343e4b93d8db8b87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "832c89c9dfb2c0bea69813e14a20208163d8e8211dfdf52f4c5c0b6cf2a13f35",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-28T00:39:12Z",
    "title_canon_sha256": "d2b70bdf5fd9a58838c75ded1ab519b30c39424ad1eb0dfcf94057eb3c95d99c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10715",
    "kind": "arxiv",
    "version": 2
  }
}