Pith. sign in
Pith Number

pith:BDIANOJB

pith:2017:BDIANOJB7EMWKTSH45YN5RNZPM
not attested not anchored not stored refs pending

Non-perturbative vacuum polarization effects in two-dimensional supercritical Dirac-Coulomb system. I. Vacuum charge density

Andrey Davydov, Konstantin Sveshnikov, Yulia Voronina

arxiv:1712.02704 v1 · 2017-12-07 · hep-th · physics.atom-ph · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BDIANOJB7EMWKTSH45YN5RNZPM}

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 2026-05-18T00:26:43.236560Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

08d006b921f919654e47e770dec5b97b3f65504e281ce4fd38a637640c0164c6

Aliases

arxiv: 1712.02704 · arxiv_version: 1712.02704v1 · doi: 10.48550/arxiv.1712.02704 · pith_short_12: BDIANOJB7EMW · pith_short_16: BDIANOJB7EMWKTSH · pith_short_8: BDIANOJB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BDIANOJB7EMWKTSH45YN5RNZPM \
  | 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: 08d006b921f919654e47e770dec5b97b3f65504e281ce4fd38a637640c0164c6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bc2302ef9505c5f032d814c50a4ec90a03c31a750ec7bd84aa1be2be1a7e368c",
    "cross_cats_sorted": [
      "physics.atom-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-12-07T16:39:56Z",
    "title_canon_sha256": "50bb6cdcafdbbc81ac8f1112e0fe53a4303762488548a0ad9f156a2b6b1a36c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02704",
    "kind": "arxiv",
    "version": 1
  }
}