pith. sign in
Pith Number

pith:MSITKRKJ

pith:2012:MSITKRKJ6WRVTWZH6777TSUDYW
not attested not anchored not stored refs pending

Wannier-Stark states and Bloch oscillations in the honeycomb lattice

Andrey R. Kolovsky, Evgeny N. Bulgakov

arxiv:1210.7406 v1 · 2012-10-28 · cond-mat.str-el · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MSITKRKJ6WRVTWZH6777TSUDYW}

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 2026-05-18T03:31:09.278361Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6491354549f5a359db27f7fff9ca83c5882837f4c6d0d1e13b896577693f08c5

Aliases

arxiv: 1210.7406 · arxiv_version: 1210.7406v1 · doi: 10.48550/arxiv.1210.7406 · pith_short_12: MSITKRKJ6WRV · pith_short_16: MSITKRKJ6WRVTWZH · pith_short_8: MSITKRKJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MSITKRKJ6WRVTWZH6777TSUDYW \
  | 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: 6491354549f5a359db27f7fff9ca83c5882837f4c6d0d1e13b896577693f08c5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "948dd3abb4130c861f6da4ce72784db903a49179ba65cb1544606bf6246d6ae5",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2012-10-28T06:11:07Z",
    "title_canon_sha256": "dfead108c56d7641ad16a76eb7106488a7bd6ef052007636abd2f9ba7faeab5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7406",
    "kind": "arxiv",
    "version": 1
  }
}