Pith Number

pith:VBXMFNGF

pith:2016:VBXMFNGF3UJL5KPREXKBJTGEMX

not attested not anchored not stored refs pending

Product states and Schmidt rank of mutually unbiased bases in dimension six

Lin Chen, Li Yu

arxiv:1610.04875 v3 · 2016-10-16 · 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{VBXMFNGF3UJL5KPREXKBJTGEMX}

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	2026-05-18T00:31:22.389171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86ec2b4c5dd12bea9f125d414ccc465f603813358533a0cc43f9e0547231250

Aliases

arxiv: 1610.04875 · arxiv_version: 1610.04875v3 · doi: 10.48550/arxiv.1610.04875 · pith_short_12: VBXMFNGF3UJL · pith_short_16: VBXMFNGF3UJL5KPR · pith_short_8: VBXMFNGF

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/VBXMFNGF3UJL5KPREXKBJTGEMX \
  | 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: a86ec2b4c5dd12bea9f125d414ccc465f603813358533a0cc43f9e0547231250

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efbfc7b35db8344f7a8dd60caa6800a08362738cd584935a16074e706ee7e65f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-10-16T15:53:07Z",
    "title_canon_sha256": "8cac69a55dea08d453383d42940e25cc58a8ed68ff098437dbe1d1bfbfc3cc7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04875",
    "kind": "arxiv",
    "version": 3
  }
}