Pith Number

pith:NE3ZK22C

pith:2013:NE3ZK22CKHNC2XJCYMY6LSY6M5

not attested not anchored not stored refs pending

Vacuum pair production of charged scalar bosons in time-dependent electric fields

Bai-Song Xie, Ding Lu, Zi-Liang Li

arxiv:1312.2648 v1 · 2013-12-10 · quant-ph · 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{NE3ZK22CKHNC2XJCYMY6LSY6M5}

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	2026-05-18T03:05:09.257295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6937956b4251da2d5d22c331e5cb1e677a8b8211b3486edb43eb5be4ea93c15a

Aliases

arxiv: 1312.2648 · arxiv_version: 1312.2648v1 · doi: 10.48550/arxiv.1312.2648 · pith_short_12: NE3ZK22CKHNC · pith_short_16: NE3ZK22CKHNC2XJC · pith_short_8: NE3ZK22C

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/NE3ZK22CKHNC2XJCYMY6LSY6M5 \
  | 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: 6937956b4251da2d5d22c331e5cb1e677a8b8211b3486edb43eb5be4ea93c15a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84817df55d5f8b354a1f00cd20f25db9bb277875c7c48c80298dbfe20c9f97fd",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-12-10T02:58:31Z",
    "title_canon_sha256": "9579a146fc9aa79eecbda4c7f55c16be893f73956c320a65ff792bd8db517cc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2648",
    "kind": "arxiv",
    "version": 1
  }
}