Pith Number

pith:RTNNYNNX

pith:2016:RTNNYNNXNRMLFGUC2CNAH5U6XM

not attested not anchored not stored refs pending

An analytic function approach to weak mutually unbiased bases

A. Vourdas, C. Lei, T. Olupitan

arxiv:1606.08274 v1 · 2016-06-27 · 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{RTNNYNNXNRMLFGUC2CNAH5U6XM}

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	2026-05-18T01:11:30.392458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cdadc35b76c58b29a82d09a03f69ebb3e8ee7b02bd69eadea61fccafa7bfecc

Aliases

arxiv: 1606.08274 · arxiv_version: 1606.08274v1 · doi: 10.48550/arxiv.1606.08274 · pith_short_12: RTNNYNNXNRML · pith_short_16: RTNNYNNXNRMLFGUC · pith_short_8: RTNNYNNX

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/RTNNYNNXNRMLFGUC2CNAH5U6XM \
  | 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: 8cdadc35b76c58b29a82d09a03f69ebb3e8ee7b02bd69eadea61fccafa7bfecc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ace842677984dbc2d1561349ea4adda15ef4632cc74c469da624ddbcd534f17e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-06-27T13:46:41Z",
    "title_canon_sha256": "1f53528e151cec445a4ac25e4e8b55b8b2f539847e04193f1f1cc3c7a3b13999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08274",
    "kind": "arxiv",
    "version": 1
  }
}