Pith Number

pith:FOYX4AZQ

pith:2015:FOYX4AZQ6WR7FHMJERBR4ZIHM2

not attested not anchored not stored refs pending

Area law for fixed points of rapidly mixing dissipative quantum systems

Angelo Lucia, David Perez-Garcia, Fernando G.S.L. Brandao, Spyridon Michalakis, Toby S. Cubitt

arxiv:1505.02776 v2 · 2015-05-11 · quant-ph · cs.IT · math-ph · math.IT · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOYX4AZQ6WR7FHMJERBR4ZIHM2}

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

Conditional Independence of 1D Gibbs States with Applications to Efficient Learning

Receipt and verification

First computed	2026-05-18T01:29:54.220770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bb17e0330f5a3f29d8924431e6507668b3e31d5a3ce45cbd343484102c88e2e

Aliases

arxiv: 1505.02776 · arxiv_version: 1505.02776v2 · doi: 10.48550/arxiv.1505.02776 · pith_short_12: FOYX4AZQ6WR7 · pith_short_16: FOYX4AZQ6WR7FHMJ · pith_short_8: FOYX4AZQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FOYX4AZQ6WR7FHMJERBR4ZIHM2 \
  | 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: 2bb17e0330f5a3f29d8924431e6507668b3e31d5a3ce45cbd343484102c88e2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75276b9dbd4b4c3ecf5ed123299fbcaf9a2c944dca54caa0718fb236e486689d",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-05-11T20:00:40Z",
    "title_canon_sha256": "2fc45b02435282fcae158248a8a81c84544d3f5a50a4ff152302c48d7f60bb86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02776",
    "kind": "arxiv",
    "version": 2
  }
}