Pith Number

pith:GHTBH7PM

pith:2025:GHTBH7PMZHHOYKHKT7KGOCFLPO

not attested not anchored not stored refs pending

Cumulant Structures of Entanglement Entropy

Lu wei, Youyi Huang

arxiv:2502.05371 v1 · 2025-02-07 · math-ph · cs.IT · math.IT · 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{GHTBH7PMZHHOYKHKT7KGOCFLPO}

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

Average entropy of Bogoliubov-Kubo-Mori random state ensemble

Receipt and verification

First computed	2026-07-05T10:11:37.085449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31e613fdecc9ceec28ea9fd46708ab7bbf4d8c213b45740422ce09d56647c04c

Aliases

arxiv: 2502.05371 · arxiv_version: 2502.05371v1 · doi: 10.48550/arxiv.2502.05371 · pith_short_12: GHTBH7PMZHHO · pith_short_16: GHTBH7PMZHHOYKHK · pith_short_8: GHTBH7PM

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/GHTBH7PMZHHOYKHKT7KGOCFLPO \
  | 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: 31e613fdecc9ceec28ea9fd46708ab7bbf4d8c213b45740422ce09d56647c04c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c213f9517254156a0ccb2b6b165390be45eb6235a21003fb5ce71b826902b7e",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-02-07T22:54:02Z",
    "title_canon_sha256": "37e0959ede1b526b2a7a810567b7c25f05d8499bc43c14a6213d663c3b8d75b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.05371",
    "kind": "arxiv",
    "version": 1
  }
}