Pith Number

pith:V6IEB73G

pith:2026:V6IEB73GI5V7TJN2MNR75IDJEK

not attested not anchored not stored refs pending

Complexity Inequalities for Quantum Subsystems

Giuseppe Di Giulio, Pawel Caputa, Tran Quang Loc

arxiv:2606.20790 v1 · 2026-06-18 · hep-th · cond-mat.stat-mech · 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{V6IEB73GI5V7TJN2MNR75IDJEK}

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	2026-06-23T00:11:56.954425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af9040ff66476bf9a5ba6363fea06922ba68e7b57c0cea94830705265dcd0318

Aliases

arxiv: 2606.20790 · arxiv_version: 2606.20790v1 · doi: 10.48550/arxiv.2606.20790 · pith_short_12: V6IEB73GI5V7 · pith_short_16: V6IEB73GI5V7TJN2 · pith_short_8: V6IEB73G

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/V6IEB73GI5V7TJN2MNR75IDJEK \
  | 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: af9040ff66476bf9a5ba6363fea06922ba68e7b57c0cea94830705265dcd0318

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93c75cbb02005db1cca9d2d2a3d4c98f14fb5bc90934a117d50f9851741ed73d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-18T18:00:00Z",
    "title_canon_sha256": "f537ef01c05a157bac196a7e645e260f970da72496e5d728459e8cf81139f749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20790",
    "kind": "arxiv",
    "version": 1
  }
}