Pith Number

pith:M4ZH2LLF

pith:2021:M4ZH2LLFCM3PS7SLAXZS6LIGH3

not attested not anchored not stored refs pending

Fermion mass and width in QED in a magnetic field

Alejandro Ayala, Enrique Mu\~noz, Jorge David Casta\~no-Yepes, M. Loewe

arxiv:2104.04019 v2 · 2021-04-08 · 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{M4ZH2LLFCM3PS7SLAXZS6LIGH3}

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	2026-07-05T02:57:45.296280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67327d2d651336f97e4b05f32f2d063ef10d5a726db29b1ab68d5721f98562a6

Aliases

arxiv: 2104.04019 · arxiv_version: 2104.04019v2 · doi: 10.48550/arxiv.2104.04019 · pith_short_12: M4ZH2LLFCM3P · pith_short_16: M4ZH2LLFCM3PS7SL · pith_short_8: M4ZH2LLF

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/M4ZH2LLFCM3PS7SLAXZS6LIGH3 \
  | 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: 67327d2d651336f97e4b05f32f2d063ef10d5a726db29b1ab68d5721f98562a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adec3d9fc825b67cca9c95af30522736703c99c47e448dfaaf93c9b8bebede27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-04-08T19:28:44Z",
    "title_canon_sha256": "08e4aaa06b3f08c1c0d236277180cc6758ba93aad008d81142cfa7b8c44ed1b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.04019",
    "kind": "arxiv",
    "version": 2
  }
}