Pith Number

pith:4TI2G6II

pith:2011:4TI2G6IIX6G4EW3TH4VOKSL6UZ

not attested not anchored not stored refs pending

Entanglement in Coupled Harmonic Oscillators via Unitary Transformation

Abdeldjalil Merdaci, Ahmed Jellal, Fethi Madouri

arxiv:1106.3894 v2 · 2011-06-20 · quant-ph · cond-mat.str-el · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TI2G6IIX6G4EW3TH4VOKSL6UZ}

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	2026-05-18T02:01:34.862764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d1a37908bf8dc25b733f2ae5497ea6465cd720ce7b66d899dc6294f0f01106

Aliases

arxiv: 1106.3894 · arxiv_version: 1106.3894v2 · doi: 10.48550/arxiv.1106.3894 · pith_short_12: 4TI2G6IIX6G4 · pith_short_16: 4TI2G6IIX6G4EW3T · pith_short_8: 4TI2G6II

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/4TI2G6IIX6G4EW3TH4VOKSL6UZ \
  | 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: e4d1a37908bf8dc25b733f2ae5497ea6465cd720ce7b66d899dc6294f0f01106

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1d3a08e6ac1a203bc5c49381e4c08164d1a112c9f45dd2529eda9dac5482ee5",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-06-20T13:26:11Z",
    "title_canon_sha256": "a60514118f6dbd35b610b56bce62be2b0bfb7ab0ff1f80d9a1595a2a3d08117c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3894",
    "kind": "arxiv",
    "version": 2
  }
}