Pith Number

pith:EFWIUDVH

pith:2006:EFWIUDVHN4NHQ2L3QJBVVU5ZPM

not attested not anchored not stored refs pending

E_7 and the tripartite entanglement of seven qubits

M. J. Duff, S. Ferrara

arxiv:quant-ph/0609227 v4 · 2006-09-29 · quant-ph · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFWIUDVHN4NHQ2L3QJBVVU5ZPM}

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	2026-07-04T15:26:12.858342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

216c8a0ea76f1a78697b82435ad3b97b141dc191ebb6801a4952a1f2c00033aa

Aliases

arxiv: quant-ph/0609227 · arxiv_version: quant-ph/0609227v4 · doi: 10.48550/arxiv.quant-ph/0609227 · pith_short_12: EFWIUDVHN4NH · pith_short_16: EFWIUDVHN4NHQ2L3 · pith_short_8: EFWIUDVH

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/EFWIUDVHN4NHQ2L3QJBVVU5ZPM \
  | 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: 216c8a0ea76f1a78697b82435ad3b97b141dc191ebb6801a4952a1f2c00033aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b69ec3821e56088a05f16b29ec1a886cbee1279dfce51831ba07b07e4c342c04",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-09-29T10:16:41Z",
    "title_canon_sha256": "e2d8902f8c09f2b0d29394aaa945d2e190d69c7610eb471068d26754618b5da4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0609227",
    "kind": "arxiv",
    "version": 4
  }
}