Pith Number

pith:3GOKXDTQ

pith:2026:3GOKXDTQDJNH5WCELFW6AT247Z

not attested not anchored not stored refs pending

Non-Perturbative Closed Form for the Typical Bipartite Mutual Information of Haar-Random States

Pei-Wen Li, Samuel L. Braunstein, Zhi-Wei Wang

arxiv:2605.29725 v1 · 2026-05-28 · quant-ph · hep-th · math-ph · math.MP · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GOKXDTQDJNH5WCELFW6AT247Z}

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

1 paper in Pith

Exact Geometric Typicality and Bipartite Entanglement from the Projected Central Limit Theorem on Hyperspheres

Receipt and verification

First computed	2026-05-29T01:05:57.022869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d99cab8e701a5a7ed844596de04f5cfe45e46a1248dbd21065e7d6d32f4325b4

Aliases

arxiv: 2605.29725 · arxiv_version: 2605.29725v1 · doi: 10.48550/arxiv.2605.29725 · pith_short_12: 3GOKXDTQDJNH · pith_short_16: 3GOKXDTQDJNH5WCE · pith_short_8: 3GOKXDTQ

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/3GOKXDTQDJNH5WCELFW6AT247Z \
  | 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: d99cab8e701a5a7ed844596de04f5cfe45e46a1248dbd21065e7d6d32f4325b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69d34e1b99a3869c625256a7d31435e95412afe469772546d57563f2e676d303",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-28T10:19:40Z",
    "title_canon_sha256": "0a65b43492bc784558ed37e462e1a52891036ba19ebb29df739ea7b791586253"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29725",
    "kind": "arxiv",
    "version": 1
  }
}