pith. sign in
Pith Number

pith:AZBOKHMM

pith:2016:AZBOKHMMAJIDQ2JWQ42GX4MSRF
not attested not anchored not stored refs pending

Plane density of induced vacuum charge in a supercritical Coulomb potential

I.V. Mamsurov, V.R. Khalilov

arxiv:1604.01271 v1 · 2016-04-05 · hep-th · hep-ph · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AZBOKHMMAJIDQ2JWQ42GX4MSRF}

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 2026-05-18T00:45:49.696931Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0642e51d8c025038693687346bf19289761d82ac819401c3e9ce66e1af76de56

Aliases

arxiv: 1604.01271 · arxiv_version: 1604.01271v1 · doi: 10.48550/arxiv.1604.01271 · pith_short_12: AZBOKHMMAJID · pith_short_16: AZBOKHMMAJIDQ2JW · pith_short_8: AZBOKHMM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AZBOKHMMAJIDQ2JWQ42GX4MSRF \
  | 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: 0642e51d8c025038693687346bf19289761d82ac819401c3e9ce66e1af76de56
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ede04ad597a969a24fc010faa655fdb0f288cc59531415d9e3705a132a663b65",
    "cross_cats_sorted": [
      "hep-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-04-05T14:30:22Z",
    "title_canon_sha256": "0c6e4601bb7bea75940de89f8361ff5ec3c8e4f538dd33416d6bd210ffef0314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01271",
    "kind": "arxiv",
    "version": 1
  }
}