Pith. sign in
Pith Number

pith:PMFVCLHH

pith:2021:PMFVCLHHVZNBUHZDS4JV54Z6NB
not attested not anchored not stored refs pending

Symmetries of quantum evolutions

Erik Aurell, Giulio Chiribella, Karol \.Zyczkowski

arxiv:2101.04962 v5 · 2021-01-13 · quant-ph · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PMFVCLHHVZNBUHZDS4JV54Z6NB}

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 2026-07-05T02:57:41.500773Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7b0b512ce7ae5a1a1f2397135ef33e684b7c846ab66ac34e115df680c5d6a788

Aliases

arxiv: 2101.04962 · arxiv_version: 2101.04962v5 · doi: 10.48550/arxiv.2101.04962 · pith_short_12: PMFVCLHHVZNB · pith_short_16: PMFVCLHHVZNBUHZD · pith_short_8: PMFVCLHH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PMFVCLHHVZNBUHZDS4JV54Z6NB \
  | 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: 7b0b512ce7ae5a1a1f2397135ef33e684b7c846ab66ac34e115df680c5d6a788
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5060a82526f7acfea28f45e574b1451697a4e740686481b268f497a3343eb834",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-01-13T09:47:32Z",
    "title_canon_sha256": "352a463b83c4d5933f8d6ac7a807b249cb8caffbe13373cf59bf8c3fa00b1c28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.04962",
    "kind": "arxiv",
    "version": 5
  }
}