Pith Number

pith:DXM4745F

pith:2011:DXM4745FVP6HYOPBWVG4ZB44S5

not attested not anchored not stored refs pending

Time evolution of the QED vacuum in a uniform electric Field: Complete analytic solution by spinorial decomposition

Iwo Bialynicki-Birula, {\L}ukasz Rudnicki

arxiv:1103.2666 v1 · 2011-03-14 · hep-th · math-ph · math.MP · 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{DXM4745FVP6HYOPBWVG4ZB44S5}

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	2026-05-18T04:26:22.486747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dd9cff3a5abfc7c39e1b54dcc879c974355f1d76996b9393154157b5531ecd6

Aliases

arxiv: 1103.2666 · arxiv_version: 1103.2666v1 · doi: 10.48550/arxiv.1103.2666 · pith_short_12: DXM4745FVP6H · pith_short_16: DXM4745FVP6HYOPB · pith_short_8: DXM4745F

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/DXM4745FVP6HYOPBWVG4ZB44S5 \
  | 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: 1dd9cff3a5abfc7c39e1b54dcc879c974355f1d76996b9393154157b5531ecd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "139fff1cd51c66b1c4ce1fda1676da87341b32b7f81814338f985f84503cb8c9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-03-14T13:49:37Z",
    "title_canon_sha256": "a531603bae4762a30334353f3e83818a30a6c90eace4f1033ce0834057df110e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2666",
    "kind": "arxiv",
    "version": 1
  }
}