Pith Number

pith:SGBQZFJP

pith:2004:SGBQZFJPCAZNLUQTOZUVRKDCDL

not attested not anchored not stored refs pending

Self-consistent solution for the polarized vacuum in a no-photon QED model

Christian Hainzl, Eric Sere, Mathieu Lewin

arxiv:physics/0404047 v3 · 2004-04-08 · physics.atom-ph · 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{SGBQZFJPCAZNLUQTOZUVRKDCDL}

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	2026-07-04T16:49:50.225701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91830c952f1032d5d213766958a8621ac402a76e6ed160364b06ac451e674d44

Aliases

arxiv: physics/0404047 · arxiv_version: physics/0404047v3 · doi: 10.48550/arxiv.physics/0404047 · pith_short_12: SGBQZFJPCAZN · pith_short_16: SGBQZFJPCAZNLUQT · pith_short_8: SGBQZFJP

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/SGBQZFJPCAZNLUQTOZUVRKDCDL \
  | 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: 91830c952f1032d5d213766958a8621ac402a76e6ed160364b06ac451e674d44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c77593235f6d82fd3f9c895c298be234a3963b1cf25f6c1f2a596d336aede8b8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2004-04-08T16:25:22Z",
    "title_canon_sha256": "9ce904fb88d5278ba514a6abdc4839df6b811079d4bdc41c9c4d15bc138abd7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0404047",
    "kind": "arxiv",
    "version": 3
  }
}