Pith Number

pith:2DTKK4SO

pith:2017:2DTKK4SO6QD3WYR57FWSDQZAPX

not attested not anchored not stored refs pending

Remarks on Heisenberg-Euler-type electrodynamics

S. I. Kruglov

arxiv:1705.08745 v1 · 2017-05-19 · physics.gen-ph · 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{2DTKK4SO6QD3WYR57FWSDQZAPX}

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.

Cited by

1 paper in Pith

Purely Electric, Magnetic, and Dyonic Black Holes in Einstein-Euler-Heisenberg Theory

Receipt and verification

First computed	2026-05-18T00:43:44.373734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0e6a5724ef407bb623df96d21c3207dc21cc840f0c0a7a90cec3a773e70b3c4

Aliases

arxiv: 1705.08745 · arxiv_version: 1705.08745v1 · doi: 10.48550/arxiv.1705.08745 · pith_short_12: 2DTKK4SO6QD3 · pith_short_16: 2DTKK4SO6QD3WYR5 · pith_short_8: 2DTKK4SO

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/2DTKK4SO6QD3WYR57FWSDQZAPX \
  | 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: d0e6a5724ef407bb623df96d21c3207dc21cc840f0c0a7a90cec3a773e70b3c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d6536d87c09a04cfc7202c1348f011aea4224110846fd0cf811494177b2761e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2017-05-19T13:45:20Z",
    "title_canon_sha256": "b42f2a6c5f68a3130b72ea6eff503cbd9c42ad5f5d1e6131da4c10fbbb8bbe89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08745",
    "kind": "arxiv",
    "version": 1
  }
}