Pith Number

pith:LGP4URFN

pith:2016:LGP4URFN3JUVYTFUV3H74MOISZ

not attested not anchored not stored refs pending

Vacuum polarization of planar Dirac fermions by a superstrong Coulomb potential

I.V. Mamsurov, V.R. Khalilov

arxiv:1601.07668 v1 · 2016-01-28 · quant-ph · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGP4URFN3JUVYTFUV3H74MOISZ}

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	2026-05-18T01:21:42.446953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

599fca44adda695c4cb4aecffe31c89651ad23b0340b5d9eec8128527032b281

Aliases

arxiv: 1601.07668 · arxiv_version: 1601.07668v1 · doi: 10.48550/arxiv.1601.07668 · pith_short_12: LGP4URFN3JUV · pith_short_16: LGP4URFN3JUVYTFU · pith_short_8: LGP4URFN

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/LGP4URFN3JUVYTFUV3H74MOISZ \
  | 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: 599fca44adda695c4cb4aecffe31c89651ad23b0340b5d9eec8128527032b281

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d2223cadd51739d3db1f19945269baa338531263d2173a7a6be461f9c2a51ff",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-01-28T07:10:48Z",
    "title_canon_sha256": "2bb8298088974d9f23414346d936d40c328be6e482e679faf15965395234920b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07668",
    "kind": "arxiv",
    "version": 1
  }
}