Pith Number

pith:3FMWPTYE

pith:2005:3FMWPTYEOJ5IKH3KVY4HOPDL35

not attested not anchored not stored refs pending

Generalized Dirac-Pauli equation and spin light of neutrino in magnetized matter

Alexander Grigoriev, Alexander Studenikin, Alexei Ternov

arxiv:hep-ph/0502210 v1 · 2005-02-22 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FMWPTYEOJ5IKH3KVY4HOPDL35}

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	2026-05-18T00:37:11.245202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d95967cf04727a851f6aae38773c6bdf524be3018aee71d74aa15e75c1751496

Aliases

arxiv: hep-ph/0502210 · arxiv_version: hep-ph/0502210v1 · doi: 10.48550/arxiv.hep-ph/0502210 · pith_short_12: 3FMWPTYEOJ5I · pith_short_16: 3FMWPTYEOJ5IKH3K · pith_short_8: 3FMWPTYE

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/3FMWPTYEOJ5IKH3KVY4HOPDL35 \
  | 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: d95967cf04727a851f6aae38773c6bdf524be3018aee71d74aa15e75c1751496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6d16e1cfaa65f2eeb29baac16d73c029031fc7c0422da4d435b281dde801338",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-02-22T17:36:37Z",
    "title_canon_sha256": "e0bc2075313bccec1f03f4078cf58a423eedba5cc651bc298044a4505ea32192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0502210",
    "kind": "arxiv",
    "version": 1
  }
}