Pith Number

pith:TECJLNBY

pith:2012:TECJLNBYSXTNZWF3ZLPK5EL6KW

not attested not anchored not stored refs pending

Exponential Decay of Correlations Implies Area Law

Fernando G. S. L. Brandao, Michal Horodecki

arxiv:1206.2947 v3 · 2012-06-13 · quant-ph · cond-mat.stat-mech · cond-mat.str-el · math-ph · 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{TECJLNBYSXTNZWF3ZLPK5EL6KW}

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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

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

Receipt and verification

First computed	2026-05-18T02:29:55.401673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

990495b43895e6dcd8bbcadeae917e558bc2fd703740c832c60aa40cbc2ebcd9

Aliases

arxiv: 1206.2947 · arxiv_version: 1206.2947v3 · doi: 10.48550/arxiv.1206.2947 · pith_short_12: TECJLNBYSXTN · pith_short_16: TECJLNBYSXTNZWF3 · pith_short_8: TECJLNBY

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/TECJLNBYSXTNZWF3ZLPK5EL6KW \
  | 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: 990495b43895e6dcd8bbcadeae917e558bc2fd703740c832c60aa40cbc2ebcd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8f9c37335ec2744ce1a1fd0c71a1667c2e2f560c055662df777e854e7fdd68e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-06-13T21:53:19Z",
    "title_canon_sha256": "e559a13b2df937672ba0160620b3393446f3bafbbc474dc731b389d8d1baedff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2947",
    "kind": "arxiv",
    "version": 3
  }
}