Pith Number

pith:VM2UU5KS

pith:2015:VM2UU5KSJ7UXJLKEB3OGSPXNAA

not attested not anchored not stored refs pending

The current density in quantum electrodynamics in time-dependent external potentials and the Schwinger effect

Jochen Zahn

arxiv:1501.06527 v4 · 2015-01-26 · hep-th · 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{VM2UU5KSJ7UXJLKEB3OGSPXNAA}

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	2026-05-18T01:28:38.832392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab354a75524fe974ad440edc693eed00192a9c734eb6c2e91f5e7988355252ef

Aliases

arxiv: 1501.06527 · arxiv_version: 1501.06527v4 · doi: 10.48550/arxiv.1501.06527 · pith_short_12: VM2UU5KSJ7UX · pith_short_16: VM2UU5KSJ7UXJLKE · pith_short_8: VM2UU5KS

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/VM2UU5KSJ7UXJLKEB3OGSPXNAA \
  | 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: ab354a75524fe974ad440edc693eed00192a9c734eb6c2e91f5e7988355252ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64ab959ea85bb5856087e7112e6e05eaf0172f6e6b51be36c8900f0d5a867fd0",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-01-26T19:12:06Z",
    "title_canon_sha256": "0c9a327760515fb2e061f4cbc826505709e44459d7735e5915d280fc3628887d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06527",
    "kind": "arxiv",
    "version": 4
  }
}