Pith Number

pith:YX4XA64T

pith:2019:YX4XA64TJZHFENSO4464HBUOJX

not attested not anchored not stored refs pending

Complexity of Mixed States in QFT and Holography

Elena Caceres, Josiah D. Couch, Juan P. Hernandez, Robert C. Myers, Shan-Ming Ruan, Shira Chapman

arxiv:1909.10557 v1 · 2019-09-23 · hep-th · gr-qc · 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{YX4XA64TJZHFENSO4464HBUOJX}

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

6 papers in Pith

The Geometry of Quantum Complexity in Open Systems

The Entanglement Wedge Polygon

Complexity Inequalities for Quantum Subsystems

Universal Time Evolution of Holographic and Quantum Complexity

Receipt and verification

First computed	2026-07-05T00:48:19.203130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5f9707b934e4e52364ee73dc3868e4de16c700bf18ad403daca637e19c25f7a

Aliases

arxiv: 1909.10557 · arxiv_version: 1909.10557v1 · doi: 10.48550/arxiv.1909.10557 · pith_short_12: YX4XA64TJZHF · pith_short_16: YX4XA64TJZHFENSO · pith_short_8: YX4XA64T

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/YX4XA64TJZHFENSO4464HBUOJX \
  | 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: c5f9707b934e4e52364ee73dc3868e4de16c700bf18ad403daca637e19c25f7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dea5c032a33016b92f851b42efa3e55d00096dcc2ec5ed1bc890df2d7d390fdb",
    "cross_cats_sorted": [
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-09-23T18:25:19Z",
    "title_canon_sha256": "e6ceea48dcd3222dd4e1bdb7f48eec7900179dc790468d29d424ab07c253e404"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.10557",
    "kind": "arxiv",
    "version": 1
  }
}