Pith Number

pith:L2VWBUGR

pith:2016:L2VWBUGRUEIWFNNHNJ7B4NPPEE

not attested not anchored not stored refs pending

Vacuum State of the Dirac Field in de Sitter Space and Entanglement Entropy

Misao Sasaki, Sugumi Kanno, Takahiro Tanaka

arxiv:1612.08954 v1 · 2016-12-28 · hep-th · 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{L2VWBUGRUEIWFNNHNJ7B4NPPEE}

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	2026-05-18T00:44:13.497957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eab60d0d1a11162b5a76a7e1e35ef212e0765de3e3aceeaef5e37d349b3bbdf

Aliases

arxiv: 1612.08954 · arxiv_version: 1612.08954v1 · doi: 10.48550/arxiv.1612.08954 · pith_short_12: L2VWBUGRUEIW · pith_short_16: L2VWBUGRUEIWFNNH · pith_short_8: L2VWBUGR

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/L2VWBUGRUEIWFNNHNJ7B4NPPEE \
  | 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: 5eab60d0d1a11162b5a76a7e1e35ef212e0765de3e3aceeaef5e37d349b3bbdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e41bf52d4381f6818bd63acc4d0382929e90af0626eeec998011ac3aba9adf1",
    "cross_cats_sorted": [
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-12-28T19:19:36Z",
    "title_canon_sha256": "9e91a5b44c1ee700fb5d7b3937a64dabbdf6b917df85c986fb7db5f5e32c7aeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08954",
    "kind": "arxiv",
    "version": 1
  }
}