Pith Number

pith:YBGVVGPJ

pith:2016:YBGVVGPJ7CIWV2UU6KRPF4IFYT

not attested not anchored not stored refs pending

An application of positive definite functions to the problem of MUBs

M\'at\'e Matolcsi, Mihail N. Kolountzakis, Mih\'aly Weiner

arxiv:1612.09000 v1 · 2016-12-28 · 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{YBGVVGPJ7CIWV2UU6KRPF4IFYT}

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	2026-05-18T00:53:46.679791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c04d5a99e9f8916aea94f2a2f2f105c4eabd34c86c83e07eb399155c109797f3

Aliases

arxiv: 1612.09000 · arxiv_version: 1612.09000v1 · doi: 10.48550/arxiv.1612.09000 · pith_short_12: YBGVVGPJ7CIW · pith_short_16: YBGVVGPJ7CIWV2UU · pith_short_8: YBGVVGPJ

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/YBGVVGPJ7CIWV2UU6KRPF4IFYT \
  | 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: c04d5a99e9f8916aea94f2a2f2f105c4eabd34c86c83e07eb399155c109797f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9a0cac89dd2b49575871213f32a782cf1bbaecbba37534f989e07dbf83550f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-12-28T22:35:09Z",
    "title_canon_sha256": "97851705d4366270f2235c8ee67abb00bb861d81cd8b454d02abd409a4f4858f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09000",
    "kind": "arxiv",
    "version": 1
  }
}