Pith Number

pith:CEEQAEEE

pith:2020:CEEQAEEEYKLIGBYT5QPEX2A557

not attested not anchored not stored refs pending

Unextendible product bases, bound entangled states, and the range criterion

Pratapaditya Bej, Saronath Halder

arxiv:2005.02108 v3 · 2020-05-05 · 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{CEEQAEEEYKLIGBYT5QPEX2A557}

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	2026-07-05T02:11:21.202082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1109001084c296830713ec1e4be81defef768a3f6f09b7d3b3e330eb62d2d17a

Aliases

arxiv: 2005.02108 · arxiv_version: 2005.02108v3 · doi: 10.48550/arxiv.2005.02108 · pith_short_12: CEEQAEEEYKLI · pith_short_16: CEEQAEEEYKLIGBYT · pith_short_8: CEEQAEEE

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/CEEQAEEEYKLIGBYT5QPEX2A557 \
  | 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: 1109001084c296830713ec1e4be81defef768a3f6f09b7d3b3e330eb62d2d17a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a21d7197772c75c21ce51940e257e1ee2fe8759d778f5418a212beff3467141",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-05-05T12:46:35Z",
    "title_canon_sha256": "f0bd157b9dc01dbdca84f74f7da8906c5d1990d27f0355f5d1d83c7511940373"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.02108",
    "kind": "arxiv",
    "version": 3
  }
}