Pith Number

pith:PKJ56XOD

pith:2011:PKJ56XODNBNQ4NTP7LSZ3DCHCJ

not attested not anchored not stored refs pending

Stability and hyperfine structure of the four- and five-body muon-atomic clusters $a^{+} b^{+} \mu^{-} e^{-}$ and $a^{+} b^{+} \mu^{-} e^{-} e^{-}$

Alexei M. Frolov, David M. Wardlaw

arxiv:1112.4111 v4 · 2011-12-18 · physics.atom-ph · physics.atm-clus

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKJ56XODNBNQ4NTP7LSZ3DCHCJ}

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	2026-05-18T01:59:06.156048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a93df5dc3685b0e366ffae59d8c471260685afb0a66065ea572aa6a7693e2da

Aliases

arxiv: 1112.4111 · arxiv_version: 1112.4111v4 · doi: 10.48550/arxiv.1112.4111 · pith_short_12: PKJ56XODNBNQ · pith_short_16: PKJ56XODNBNQ4NTP · pith_short_8: PKJ56XOD

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/PKJ56XODNBNQ4NTP7LSZ3DCHCJ \
  | 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: 7a93df5dc3685b0e366ffae59d8c471260685afb0a66065ea572aa6a7693e2da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05c3bfc78017e0fc9525e0578668d97c06436366ae967df5aeddf9c61c2f99c3",
    "cross_cats_sorted": [
      "physics.atm-clus"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2011-12-18T03:18:45Z",
    "title_canon_sha256": "040216aa7442c1984a694a616bcc11a1df3655f5f3569315e06fc3871a161bbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4111",
    "kind": "arxiv",
    "version": 4
  }
}