Pith Number

pith:WLD2HM5Y

pith:2012:WLD2HM5YPL4CHSEWKAM6UFOLBG

not attested not anchored not stored refs pending

Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields

Christian Hainzl, Eric s\'er\'e (CEREMADE), Mathieu Lewin (AGM), Philippe Gravejat (CMLS-EcolePolytechnique)

arxiv:1204.2893 v3 · 2012-04-13 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLD2HM5YPL4CHSEWKAM6UFOLBG}

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	2026-05-18T03:19:56.985332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2c7a3b3b87af823c8965019ea15cb099a876aafb7966b775999724f4c35d337

Aliases

arxiv: 1204.2893 · arxiv_version: 1204.2893v3 · doi: 10.48550/arxiv.1204.2893 · pith_short_12: WLD2HM5YPL4C · pith_short_16: WLD2HM5YPL4CHSEW · pith_short_8: WLD2HM5Y

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/WLD2HM5YPL4CHSEWKAM6UFOLBG \
  | 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: b2c7a3b3b87af823c8965019ea15cb099a876aafb7966b775999724f4c35d337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dc41b1f4eab5df7fdca122a8635f7d8228b8dbb8ebeea0977ee229184b8007b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-13T06:29:47Z",
    "title_canon_sha256": "fe6e7959ceb316609f6d635451b69c1c216dea2b67d096dc3a2ddc29bf2158ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2893",
    "kind": "arxiv",
    "version": 3
  }
}