Pith Number

pith:ZVDGRKHX

pith:1999:ZVDGRKHXGGA4EQSL5YPAGLMVAN

not attested not anchored not stored refs pending

Unextendible Product Bases, Uncompletable Product Bases and Bound Entanglement

Barbara M. Terhal, David P. DiVincenzo, John A. Smolin, Peter W. Shor, Tal Mor

arxiv:quant-ph/9908070 v3 · 1999-08-22 · 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{ZVDGRKHXGGA4EQSL5YPAGLMVAN}

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	2026-07-04T14:47:27.927639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd4668a8f73181c2424bee1e032d950366a1116e853127abf857fb0c6c2fd11a

Aliases

arxiv: quant-ph/9908070 · arxiv_version: quant-ph/9908070v3 · doi: 10.48550/arxiv.quant-ph/9908070 · pith_short_12: ZVDGRKHXGGA4 · pith_short_16: ZVDGRKHXGGA4EQSL · pith_short_8: ZVDGRKHX

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/ZVDGRKHXGGA4EQSL5YPAGLMVAN \
  | 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: cd4668a8f73181c2424bee1e032d950366a1116e853127abf857fb0c6c2fd11a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9785871089d72e90eff2a08291c4904e5bff572ef871a0086eb6bf9a3b22cb9c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-08-22T17:00:55Z",
    "title_canon_sha256": "c013c18fdda34074323f98951facef6feb529d59c9b2f7465de10ce7c30645d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9908070",
    "kind": "arxiv",
    "version": 3
  }
}