Pith Number

pith:AJW6O42Y

pith:2012:AJW6O42YBX2UY47EQ5P2RPJJ5I

not attested not anchored not stored refs pending

Two Hartree-Fock models for the vacuum polarization

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

arxiv:1209.6338 v1 · 2012-09-27 · 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{AJW6O42YBX2UY47EQ5P2RPJJ5I}

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	2026-05-18T03:44:34.522720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

026de773580df54c73e4875fa8bd29ea277a861f47bb5256bcf180ce505ca46c

Aliases

arxiv: 1209.6338 · arxiv_version: 1209.6338v1 · doi: 10.48550/arxiv.1209.6338 · pith_short_12: AJW6O42YBX2U · pith_short_16: AJW6O42YBX2UY47E · pith_short_8: AJW6O42Y

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/AJW6O42YBX2UY47EQ5P2RPJJ5I \
  | 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: 026de773580df54c73e4875fa8bd29ea277a861f47bb5256bcf180ce505ca46c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a10fea03df78ec50556b622fd23697a977dff051850e58ada684e1fa9fc133ca",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-27T19:28:05Z",
    "title_canon_sha256": "ab30c26ce4aa0d24dd478eb398ac665a0db38c359c9d56a350d9ce3870286c13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6338",
    "kind": "arxiv",
    "version": 1
  }
}