Pith. sign in
Pith Number

pith:7J5C5ETG

pith:2019:7J5C5ETG5BP5MZ6CC5TXDY7OU7
not attested not anchored not stored refs pending

Theory of the phase transition in random unitary circuits with measurements

Ehud Altman, Soonwon Choi, Yimu Bao

arxiv:1908.04305 v3 · 2019-08-12 · cond-mat.stat-mech · cond-mat.dis-nn · cond-mat.str-el · hep-th · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7J5C5ETG5BP5MZ6CC5TXDY7OU7}

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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 2026-07-05T00:45:32.968876Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fa7a2e9266e85fd667c2176771e3eea7fd5e195cb63d1de3fab880df7c150ee3

Aliases

arxiv: 1908.04305 · arxiv_version: 1908.04305v3 · doi: 10.48550/arxiv.1908.04305 · pith_short_12: 7J5C5ETG5BP5 · pith_short_16: 7J5C5ETG5BP5MZ6C · pith_short_8: 7J5C5ETG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7J5C5ETG5BP5MZ6CC5TXDY7OU7 \
  | 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: fa7a2e9266e85fd667c2176771e3eea7fd5e195cb63d1de3fab880df7c150ee3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5c2e5f186a3ff11bb36c37f8567eb0fa4020a3029a487b0ba5fcfe447d237afd",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.str-el",
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2019-08-12T18:00:02Z",
    "title_canon_sha256": "4dbcab90dcb23eb379076e8ced30e3d4c9b73f08ef7ae7387e3230510b2963af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04305",
    "kind": "arxiv",
    "version": 3
  }
}