Pith Number

pith:WH56INK2

pith:2013:WH56INK2QEHDL4EORM5BEYCX3R

not attested not anchored not stored refs pending

The Minimum Size of Qubit Unextendible Product Bases

Nathaniel Johnston

arxiv:1302.1604 v1 · 2013-02-06 · 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{WH56INK2QEHDL4EORM5BEYCX3R}

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	2026-05-18T03:07:11.089916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1fbe4355a810e35f08e8b3a126057dc59150a0fb3acbeef8d9184de9b02fb71

Aliases

arxiv: 1302.1604 · arxiv_version: 1302.1604v1 · doi: 10.48550/arxiv.1302.1604 · pith_short_12: WH56INK2QEHD · pith_short_16: WH56INK2QEHDL4EO · pith_short_8: WH56INK2

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/WH56INK2QEHDL4EORM5BEYCX3R \
  | 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: b1fbe4355a810e35f08e8b3a126057dc59150a0fb3acbeef8d9184de9b02fb71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ce9953997c843aaeeca802a4504843fce40137c856ed164091aad4e2df49c4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-02-06T22:39:07Z",
    "title_canon_sha256": "c2f9e2a2c8efd0c6bb58dba7fd6d1983037a826a90bfcdf0420f5e86e0b9bf25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1604",
    "kind": "arxiv",
    "version": 1
  }
}