Pith. sign in
Pith Number

pith:SUSNFN7Z

pith:2022:SUSNFN7ZLCHQENPH26IF4PDOBR
not attested not anchored not stored refs pending

Duality viewpoint of criticality

Linhao Li, Yuan Yao

arxiv:2209.13450 v4 · 2022-09-27 · quant-ph · cond-mat.stat-mech · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SUSNFN7ZLCHQENPH26IF4PDOBR}

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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

2 papers in Pith

Receipt and verification
First computed 2026-07-05T05:31:03.383968Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9524d2b7f9588f0235e7d7905e3c6e0c6ac6071ddc10cbfca827a6c5fab3c80d

Aliases

arxiv: 2209.13450 · arxiv_version: 2209.13450v4 · doi: 10.48550/arxiv.2209.13450 · pith_short_12: SUSNFN7ZLCHQ · pith_short_16: SUSNFN7ZLCHQENPH · pith_short_8: SUSNFN7Z
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SUSNFN7ZLCHQENPH26IF4PDOBR \
  | 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: 9524d2b7f9588f0235e7d7905e3c6e0c6ac6071ddc10cbfca827a6c5fab3c80d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "697a7b55c1fa4ea81e8434e85dcbc851a52c71a4422daf5c36280fbf8885a375",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-09-27T15:13:27Z",
    "title_canon_sha256": "efd688bc11d9163946dbaf9219533829509e62ec1858a3a5a874f9ebbfa853fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.13450",
    "kind": "arxiv",
    "version": 4
  }
}