Pith Number

pith:CT4KAT6E

pith:2024:CT4KAT6E6UWICR6YOWJRZEHERD

not attested not anchored not stored refs pending

The polygon relation and subadditivity of entropic measures for discrete and continuous multipartite entanglement

Lijun Liu, Shuming Cheng, Xiaozhen Ge

arxiv:2401.02066 v3 · 2024-01-04 · 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{CT4KAT6E6UWICR6YOWJRZEHERD}

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.

Receipt and verification

First computed	2026-07-05T09:02:55.851566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14f8a04fc4f52c8147d875931c90e488e79f99284dc6317a0180531c15ae6ee8

Aliases

arxiv: 2401.02066 · arxiv_version: 2401.02066v3 · doi: 10.48550/arxiv.2401.02066 · pith_short_12: CT4KAT6E6UWI · pith_short_16: CT4KAT6E6UWICR6Y · pith_short_8: CT4KAT6E

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/CT4KAT6E6UWICR6YOWJRZEHERD \
  | 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: 14f8a04fc4f52c8147d875931c90e488e79f99284dc6317a0180531c15ae6ee8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ae862b0a1b64bfdda037fb87be6433d78ee0466f0037bea1663aadc9b5db59e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-01-04T05:09:37Z",
    "title_canon_sha256": "96e39eca5f7070c009fb783242fd137741c33883abff47a3cddb8e56fcf69d0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.02066",
    "kind": "arxiv",
    "version": 3
  }
}