Pith Number

pith:VKOIVXDJ

pith:2021:VKOIVXDJN5R6AHZFFLRBZE3L3I

not attested not anchored not stored refs pending

Holographic entanglement negativity and replica symmetry breaking

Michael Walter, Xiao-Liang Qi, Xi Dong

arxiv:2101.11029 v2 · 2021-01-26 · hep-th · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKOIVXDJN5R6AHZFFLRBZE3L3I}

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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

4 papers in Pith

Logarithmic negativity typically equals exact entanglement cost

Multi-entropy in random tensor networks

Living on the edge: a non-perturbative resolution to the negativity of bulk entropies

Structural Obstruction to Replica Symmetry Breaking for Multi-Entropy in Random Tensor Networks

Receipt and verification

First computed	2026-07-05T02:46:43.986070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa9c8adc696f63e01f252ae21c936bda1cbec9b20c2f71f9867a547d119f7e1c

Aliases

arxiv: 2101.11029 · arxiv_version: 2101.11029v2 · doi: 10.48550/arxiv.2101.11029 · pith_short_12: VKOIVXDJN5R6 · pith_short_16: VKOIVXDJN5R6AHZF · pith_short_8: VKOIVXDJ

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/VKOIVXDJN5R6AHZFFLRBZE3L3I \
  | 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: aa9c8adc696f63e01f252ae21c936bda1cbec9b20c2f71f9867a547d119f7e1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "996aa21031d33fbcac07f68bb8d8feb1e2e776e0f83d4005eea3f9750074ab38",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-01-26T19:00:45Z",
    "title_canon_sha256": "58fc83854d0e16d75e128aacfc17f9769f56f437d6d7098cf54a506814b0cb6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.11029",
    "kind": "arxiv",
    "version": 2
  }
}