Pith Number

pith:UGO3GZ5L

pith:2026:UGO3GZ5LYPCSMBOIY2IOMV5K33

not attested not anchored not stored refs pending

The Euler-Heisenberg action for a $U(1)\times U(1)$ dyon quantum electrodynamics

D.O.R. Azevedo, E.D. Pereira, T.S. Dias

arxiv:2607.10906 v1 · 2026-07-12 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGO3GZ5LYPCSMBOIY2IOMV5K33}

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	2026-07-14T01:21:47.072709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19db367abc3c52605c8c690e657aadecdaecb758921cc528c593985d05bc3c8

Aliases

arxiv: 2607.10906 · arxiv_version: 2607.10906v1 · doi: 10.48550/arxiv.2607.10906 · pith_short_12: UGO3GZ5LYPCS · pith_short_16: UGO3GZ5LYPCSMBOI · pith_short_8: UGO3GZ5L

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/UGO3GZ5LYPCSMBOIY2IOMV5K33 \
  | 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: a19db367abc3c52605c8c690e657aadecdaecb758921cc528c593985d05bc3c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68bbd5f631d1f0663cebac331ca14346e1d4f4969dd6c72a53b0fb7f5ddfbdf9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-12T20:24:19Z",
    "title_canon_sha256": "2c612a11819cd1450a9b611e184028dbea2833069007ad2a664ceec59fe7f708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10906",
    "kind": "arxiv",
    "version": 1
  }
}