Pith Number

pith:J6EBCZEF

pith:2021:J6EBCZEFBEBB7IGACUPYVN6T7I

not attested not anchored not stored refs pending

Vacuum decay in the Lorentzian path integral

Jun'ichi Yokoyama, Kohei Kamada, Naritaka Oshita, Takumi Hayashi

arxiv:2112.09284 v3 · 2021-12-17 · hep-th · astro-ph.CO · gr-qc · hep-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{J6EBCZEFBEBB7IGACUPYVN6T7I}

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	2026-07-05T09:47:53.274719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f8811648509021fa0c0151f8ab7d3fa21e9f5d489e73793ac4a57bd424ce5c9

Aliases

arxiv: 2112.09284 · arxiv_version: 2112.09284v3 · doi: 10.48550/arxiv.2112.09284 · pith_short_12: J6EBCZEFBEBB · pith_short_16: J6EBCZEFBEBB7IGA · pith_short_8: J6EBCZEF

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/J6EBCZEFBEBB7IGACUPYVN6T7I \
  | 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: 4f8811648509021fa0c0151f8ab7d3fa21e9f5d489e73793ac4a57bd424ce5c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04d1c1fef90dfe004d4817acd6b2cfd9fe4c43cb6c8403549817ed1439688607",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-17T02:06:18Z",
    "title_canon_sha256": "2f2c974279ddab1dc007548917051843278a16efc824faa5cc76e0010162f8aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.09284",
    "kind": "arxiv",
    "version": 3
  }
}