Pith. sign in
Pith Number

pith:QO6SKXZ3

pith:2020:QO6SKXZ3FCFXUUQOES2HL34CLC
not attested not anchored not stored refs pending

Controlled Mather-Thurston theorems

Michael Freedman

arxiv:2006.00374 v6 · 2020-05-30 · math.GT · math-ph · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QO6SKXZ3FCFXUUQOES2HL34CLC}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T06:23:36.161263Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

83bd255f3b288b7a520e24b475ef8258875b46ec9a6285e5a99a0ee5106b812d

Aliases

arxiv: 2006.00374 · arxiv_version: 2006.00374v6 · doi: 10.48550/arxiv.2006.00374 · pith_short_12: QO6SKXZ3FCFX · pith_short_16: QO6SKXZ3FCFXUUQO · pith_short_8: QO6SKXZ3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QO6SKXZ3FCFXUUQOES2HL34CLC \
  | 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: 83bd255f3b288b7a520e24b475ef8258875b46ec9a6285e5a99a0ee5106b812d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "31db7b227c45b9a60f0ae5f7b5399904e539da6cb70e267bd0d17ab1712cc7ca",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-05-30T21:53:57Z",
    "title_canon_sha256": "987d8dcf27e4d43338e7fa29f694673a250e3e3f969cfd7a5f58a7f02c78670d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.00374",
    "kind": "arxiv",
    "version": 6
  }
}