Pith Number

pith:VGP2OCOV

pith:1999:VGP2OCOV4VZBRNMPU7XNIDU4TB

not attested not anchored not stored refs pending

Dual Quantum Electrodynamics: Dyon-Dyon and Charge-Monopole Scattering in a High-Energy Approximation

Kimball A. Milton, Leonard Gamberg

arxiv:hep-ph/9910526 v1 · 1999-10-27 · hep-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{VGP2OCOV4VZBRNMPU7XNIDU4TB}

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	2026-07-04T16:14:32.224502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a99fa709d5e57218b58fa7eed40e9c984f55f5ac2d1a2b6f419b265d4d927e45

Aliases

arxiv: hep-ph/9910526 · arxiv_version: hep-ph/9910526v1 · doi: 10.48550/arxiv.hep-ph/9910526 · pith_short_12: VGP2OCOV4VZB · pith_short_16: VGP2OCOV4VZBRNMP · pith_short_8: VGP2OCOV

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/VGP2OCOV4VZBRNMPU7XNIDU4TB \
  | 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: a99fa709d5e57218b58fa7eed40e9c984f55f5ac2d1a2b6f419b265d4d927e45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "add1d2c307bf6f12f3e58549f486779714d346abf9be361f25796bc1b4484d19",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-10-27T22:42:38Z",
    "title_canon_sha256": "13ee28adcc4d5bb3378f5dddb96533f3c0fc259ed5eb0b32c511ae43b50a9f70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9910526",
    "kind": "arxiv",
    "version": 1
  }
}