Pith Number

pith:7BGS5A3M

pith:2012:7BGS5A3M6TKF4CO3EORMF6VH4P

not attested not anchored not stored refs pending

Entanglement Entropy of Two Spheres

Noburo Shiba

arxiv:1201.4865 v4 · 2012-01-23 · hep-th · astro-ph.HE · gr-qc · 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{7BGS5A3M6TKF4CO3EORMF6VH4P}

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

Smooth Perturbations to R\'enyi Entropy

Receipt and verification

First computed	2026-05-18T03:50:12.193440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f84d2e836cf4d45e09db23a2c2faa7e3c4190b1bf460979e49f33fd41a429a2b

Aliases

arxiv: 1201.4865 · arxiv_version: 1201.4865v4 · doi: 10.48550/arxiv.1201.4865 · pith_short_12: 7BGS5A3M6TKF · pith_short_16: 7BGS5A3M6TKF4CO3 · pith_short_8: 7BGS5A3M

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/7BGS5A3M6TKF4CO3EORMF6VH4P \
  | 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: f84d2e836cf4d45e09db23a2c2faa7e3c4190b1bf460979e49f33fd41a429a2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eb6f1273552e66df10e2d417ce552c16f2b94afd052da4ae18890a7d56400f8",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-01-23T21:02:36Z",
    "title_canon_sha256": "167ee21917f35502ceddc22f6c729fbe1c0bcfc977b2c5a6e4dac4e46cf65b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4865",
    "kind": "arxiv",
    "version": 4
  }
}