Pith Number

pith:HEJQJ73T

pith:2020:HEJQJ73TGJOWPOHKTPQD4QLR7Q

not attested not anchored not stored refs pending

Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos

Arpan Bhattacharyya, Eugene H. Kim, S. Shajidul Haque

arxiv:2011.04705 v2 · 2020-11-09 · hep-th · nlin.CD · 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{HEJQJ73TGJOWPOHKTPQD4QLR7Q}

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

2 papers in Pith

Complexity Inequalities for Quantum Subsystems

Receipt and verification

First computed	2026-07-05T03:23:37.710480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

391304ff73325d67b8ea9be03e4171fc1de059a5f4ed2ac11d2434c4bd8feb6f

Aliases

arxiv: 2011.04705 · arxiv_version: 2011.04705v2 · doi: 10.48550/arxiv.2011.04705 · pith_short_12: HEJQJ73TGJOW · pith_short_16: HEJQJ73TGJOWPOHK · pith_short_8: HEJQJ73T

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/HEJQJ73TGJOWPOHKTPQD4QLR7Q \
  | 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: 391304ff73325d67b8ea9be03e4171fc1de059a5f4ed2ac11d2434c4bd8feb6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8093b3bead52c415e7203e2e21c8dbc4edbe31657cb8b145c44132a38c6b289c",
    "cross_cats_sorted": [
      "nlin.CD",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-11-09T19:33:57Z",
    "title_canon_sha256": "c2ad1dc2e9236f8a601db961afbdde6221e6a1d7378a44808a0c459241c7a20e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.04705",
    "kind": "arxiv",
    "version": 2
  }
}