Pith Number

pith:4LZFPLD2

pith:2015:4LZFPLD2A227U5UQ4Y2TJ6W6TB

not attested not anchored not stored refs pending

The current density in quantum electrodynamics in external potentials

Jan Schlemmer, Jochen Zahn

arxiv:1501.05912 v2 · 2015-01-23 · hep-th · hep-ph · quant-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{4LZFPLD2A227U5UQ4Y2TJ6W6TB}

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	2026-05-18T02:03:59.902572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f257ac7a06b5fa7690e63534fade98404ccc3fd12c7c4580215596bab6964e

Aliases

arxiv: 1501.05912 · arxiv_version: 1501.05912v2 · doi: 10.48550/arxiv.1501.05912 · pith_short_12: 4LZFPLD2A227 · pith_short_16: 4LZFPLD2A227U5UQ · pith_short_8: 4LZFPLD2

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/4LZFPLD2A227U5UQ4Y2TJ6W6TB \
  | 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: e2f257ac7a06b5fa7690e63534fade98404ccc3fd12c7c4580215596bab6964e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "602aa952b398e74c2dc04b85890f001bd2dc495168e9417847fa8ba3582ffbee",
    "cross_cats_sorted": [
      "hep-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-01-23T18:56:38Z",
    "title_canon_sha256": "ee915ee27ab63ca98761f81e983966995615a2081d60c3a3d687469dd483419d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05912",
    "kind": "arxiv",
    "version": 2
  }
}