Pith Number

pith:PWNLEQWX

pith:2018:PWNLEQWXQ2VMB7NIVZCYEZA2NI

not attested not anchored not stored refs pending

On the spectral gap of random quantum channels

Carlos E. Gonz\'alez-Guill\'en, Ion Nechita, Marius Junge

arxiv:1811.08847 v1 · 2018-11-21 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWNLEQWXQ2VMB7NIVZCYEZA2NI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:00:09.786566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d9ab242d786aac0fda8ae4582641a6a3ebf5bfc7efc2abf2eb6e4a8a496aa6b

Aliases

arxiv: 1811.08847 · arxiv_version: 1811.08847v1 · doi: 10.48550/arxiv.1811.08847 · pith_short_12: PWNLEQWXQ2VM · pith_short_16: PWNLEQWXQ2VMB7NI · pith_short_8: PWNLEQWX

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/PWNLEQWXQ2VMB7NIVZCYEZA2NI \
  | 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: 7d9ab242d786aac0fda8ae4582641a6a3ebf5bfc7efc2abf2eb6e4a8a496aa6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "159357e389c2f7395fd5e1c67339155c3ef23a697746b7ef1622f115e61a044f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-11-21T17:50:03Z",
    "title_canon_sha256": "3f64a11d349a6a60e1f5455f2f7422b4551edc8162bebc37eb581b709cf2d984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08847",
    "kind": "arxiv",
    "version": 1
  }
}