Pith Number

pith:LTIS2CK2

pith:2012:LTIS2CK2IUVJGDHSXGPDZH7QT4

not attested not anchored not stored refs pending

Observer dependence of bubble nucleation and Schwinger pair production

Alexander Vilenkin, Jaume Garriga, Jiro Soda, Misao Sasaki, Sugumi Kanno

arxiv:1208.1335 v3 · 2012-08-07 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTIS2CK2IUVJGDHSXGPDZH7QT4}

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	2026-05-18T03:27:13.911930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cd12d095a452a930cf2b99e3c9ff09f3e022d2b1cf36bea883de620f85ef1e3

Aliases

arxiv: 1208.1335 · arxiv_version: 1208.1335v3 · doi: 10.48550/arxiv.1208.1335 · pith_short_12: LTIS2CK2IUVJ · pith_short_16: LTIS2CK2IUVJGDHS · pith_short_8: LTIS2CK2

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/LTIS2CK2IUVJGDHSXGPDZH7QT4 \
  | 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: 5cd12d095a452a930cf2b99e3c9ff09f3e022d2b1cf36bea883de620f85ef1e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50dfb3cd93acf5a597087d4a7a8ebf95d62591097478c0566d9e386dca4cdb3b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-08-07T05:07:58Z",
    "title_canon_sha256": "2fdcd20042abc40c06e4af0406815c37623ac1ec62e39afe4806b1f6a9bcbe23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1335",
    "kind": "arxiv",
    "version": 3
  }
}