Pith Number

pith:SD4MVNKT

pith:2017:SD4MVNKT6LJ4WC24I7U4F7IBF4

not attested not anchored not stored refs pending

Nonexistence of $n$-qubit unextendible product bases of size $2^n-5$

Dragomir Z Djokovic, Lin Chen

arxiv:1709.01232 v1 · 2017-09-05 · 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{SD4MVNKT6LJ4WC24I7U4F7IBF4}

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	2026-05-18T00:26:28.991023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90f8cab553f2d3cb0b5c47e9c2fd012f02b1a1ec2c47e14364fd7284e05f5a05

Aliases

arxiv: 1709.01232 · arxiv_version: 1709.01232v1 · doi: 10.48550/arxiv.1709.01232 · pith_short_12: SD4MVNKT6LJ4 · pith_short_16: SD4MVNKT6LJ4WC24 · pith_short_8: SD4MVNKT

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/SD4MVNKT6LJ4WC24I7U4F7IBF4 \
  | 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: 90f8cab553f2d3cb0b5c47e9c2fd012f02b1a1ec2c47e14364fd7284e05f5a05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d92a229e4eddcff5a7b823eead8b8c9fdb556ee11d6cbf65955bbe83c0245789",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-09-05T04:17:30Z",
    "title_canon_sha256": "dbe6a58dbaebe4162639ebed38efc27713bc2573f5a2bbb722bfe7e7cd5bdc5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01232",
    "kind": "arxiv",
    "version": 1
  }
}