Pith Number

pith:RPNBSLLK

pith:2015:RPNBSLLKMP4AFNGWA2GKS5KKCC

not attested not anchored not stored refs pending

Two intervals R\'enyi entanglement entropy of compact free boson on torus

Feihu Liu, Xiao Liu

arxiv:1509.08986 v1 · 2015-09-30 · 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{RPNBSLLKMP4AFNGWA2GKS5KKCC}

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	2026-05-18T01:20:33.961812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bda192d6a63f802b4d6068ca9754a108c35c9a751651ef000461feec6686d1d

Aliases

arxiv: 1509.08986 · arxiv_version: 1509.08986v1 · doi: 10.48550/arxiv.1509.08986 · pith_short_12: RPNBSLLKMP4A · pith_short_16: RPNBSLLKMP4AFNGW · pith_short_8: RPNBSLLK

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/RPNBSLLKMP4AFNGWA2GKS5KKCC \
  | 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: 8bda192d6a63f802b4d6068ca9754a108c35c9a751651ef000461feec6686d1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "055f0b406295fbeab68ab325acafa618b8614a36a114d7dadb67481e59333126",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-09-30T01:10:11Z",
    "title_canon_sha256": "aca63760a4f290deea345360171f65f9d8b9f4074cf5bc63868c01eda9783ad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08986",
    "kind": "arxiv",
    "version": 1
  }
}