pith. sign in
Pith Number

pith:MRRJNZC2

pith:2018:MRRJNZC2SL4NECNNFQ4OZYYBS3
not attested not anchored not stored refs pending

Universal quantum computing and three-manifolds

Klee Irwin, Marcelo M. Amaral, Michel Planat, Raymond Aschheim

arxiv:1802.04196 v3 · 2018-02-12 · quant-ph · math.GR · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MRRJNZC2SL4NECNNFQ4OZYYBS3}

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 2026-05-17T23:57:03.071392Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

646296e45a92f8d209ad2c38ece30196edb14014f21bc04824120ef115b73a95

Aliases

arxiv: 1802.04196 · arxiv_version: 1802.04196v3 · doi: 10.48550/arxiv.1802.04196 · pith_short_12: MRRJNZC2SL4N · pith_short_16: MRRJNZC2SL4NECNN · pith_short_8: MRRJNZC2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MRRJNZC2SL4NECNNFQ4OZYYBS3 \
  | 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: 646296e45a92f8d209ad2c38ece30196edb14014f21bc04824120ef115b73a95
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d17d6ac287e418b6c6752eb1e0427f8b26620886e09e2921e1728c68695fbe2a",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-02-12T17:29:27Z",
    "title_canon_sha256": "e24cda8b34d6282cf46dc6f7e98f2af7911a994f9f7dd16c011f6496e595b6c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04196",
    "kind": "arxiv",
    "version": 3
  }
}