Pith Number

pith:2SAFHI7Z

pith:2011:2SAFHI7ZXIJ4EPW7YFUSSS67S5

not attested not anchored not stored refs pending

Polynomial invariants for discrimination and classification of four-qubit entanglement

Christopher Eltschka, Jens Siewert, Oliver Viehmann

arxiv:1101.5558 v1 · 2011-01-28 · 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{2SAFHI7ZXIJ4EPW7YFUSSS67S5}

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	2026-05-18T04:16:42.129013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d48053a3f9ba13c23edfc169294bdf974f670d8d0b014041daf013409f2f50f6

Aliases

arxiv: 1101.5558 · arxiv_version: 1101.5558v1 · doi: 10.48550/arxiv.1101.5558 · pith_short_12: 2SAFHI7ZXIJ4 · pith_short_16: 2SAFHI7ZXIJ4EPW7 · pith_short_8: 2SAFHI7Z

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/2SAFHI7ZXIJ4EPW7YFUSSS67S5 \
  | 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: d48053a3f9ba13c23edfc169294bdf974f670d8d0b014041daf013409f2f50f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a96e038acede33282ede81b437d4728bad38b24f9b638968d85e6f1e0ad9e486",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-01-28T15:58:39Z",
    "title_canon_sha256": "95d8cbbe09ce8aa7cff46600e82b6612ff2c5562b6fc5b690a73ddd0dd664a1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5558",
    "kind": "arxiv",
    "version": 1
  }
}