pith. sign in
Pith Number

pith:PJA6YCXG

pith:2016:PJA6YCXGHD5DKMXOGXVE7SXX2R
not attested not anchored not stored refs pending

Pairwise mode entanglement in Schwinger production of particle-antiparticle pairs in an electric field

Yue Dai, Yujie Li, Yu Shi

arxiv:1612.01716 v1 · 2016-12-06 · hep-th · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PJA6YCXGHD5DKMXOGXVE7SXX2R}

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 2026-05-18T00:50:46.315451Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7a41ec0ae638fa3532ee35ea4fcaf7d44acbe8fe3cff5b237802b52ec146bf5b

Aliases

arxiv: 1612.01716 · arxiv_version: 1612.01716v1 · doi: 10.48550/arxiv.1612.01716 · pith_short_12: PJA6YCXGHD5D · pith_short_16: PJA6YCXGHD5DKMXO · pith_short_8: PJA6YCXG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PJA6YCXGHD5DKMXOGXVE7SXX2R \
  | 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: 7a41ec0ae638fa3532ee35ea4fcaf7d44acbe8fe3cff5b237802b52ec146bf5b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ab2d74151b80d44d7146309441a1b204915781aa767d411261fd4b15d318c8be",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-12-06T09:16:30Z",
    "title_canon_sha256": "3ddf246914f528bb3379afa1d3bc86b5c804af8058f240005747fa6031868f73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01716",
    "kind": "arxiv",
    "version": 1
  }
}