pith. sign in
Pith Number

pith:5JKXKMQM

pith:2011:5JKXKMQM553P3OIQF3QYZHXAVL
not attested not anchored not stored refs pending

Dirac and Klein-Gordon particles in one-dimensional periodic potentials

F. M. Peeters, J. Milton Pereira Jr, M. Barbier, P. Vasilopoulos

arxiv:1101.3900 v1 · 2011-01-20 · cond-mat.mes-hall

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5JKXKMQM553P3OIQF3QYZHXAVL}

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 2026-05-18T02:22:51.026506Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ea5575320cef76fdb9102ee18c9ee0aafa0613ced55d361ff53c0d1c9aae43b0

Aliases

arxiv: 1101.3900 · arxiv_version: 1101.3900v1 · doi: 10.48550/arxiv.1101.3900 · pith_short_12: 5JKXKMQM553P · pith_short_16: 5JKXKMQM553P3OIQ · pith_short_8: 5JKXKMQM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5JKXKMQM553P3OIQF3QYZHXAVL \
  | 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: ea5575320cef76fdb9102ee18c9ee0aafa0613ced55d361ff53c0d1c9aae43b0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6637ebcb7403b66151856d516e44bd3d126542befca62b2287f33dcdfbf65560",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2011-01-20T13:33:41Z",
    "title_canon_sha256": "98a06f858cf0bb5a0b4f48889227cd4253d62f158febc12601d5879f5a5e0f88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3900",
    "kind": "arxiv",
    "version": 1
  }
}