Pith Number

pith:GQ6A43QW

pith:2025:GQ6A43QWZ4IPMROLJRVYJKRA45

not attested not anchored not stored refs pending

R\'enyi Entanglement of Purification and Half R\'enyi Reflected Entropy in Free Scalar Theory

Liangyu Chen

arxiv:2501.10944 v3 · 2025-01-19 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQ6A43QWZ4IPMROLJRVYJKRA45}

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	2026-07-05T11:21:40.739781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

343c0e6e16cf10f645cb4c6b84aa20e77ce3bae16231deab72b218165eb7ef83

Aliases

arxiv: 2501.10944 · arxiv_version: 2501.10944v3 · doi: 10.48550/arxiv.2501.10944 · pith_short_12: GQ6A43QWZ4IP · pith_short_16: GQ6A43QWZ4IPMROL · pith_short_8: GQ6A43QW

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/GQ6A43QWZ4IPMROLJRVYJKRA45 \
  | 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: 343c0e6e16cf10f645cb4c6b84aa20e77ce3bae16231deab72b218165eb7ef83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07968ad559652df75d6dd769f5552242b4c350d448854521cd6f13e63b631135",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-01-19T04:56:13Z",
    "title_canon_sha256": "01c623bb32c220e39c2ff819619f33b6782d012a64f79cad673344c5aebc0694"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.10944",
    "kind": "arxiv",
    "version": 3
  }
}