pith. sign in
Pith Number

pith:B6Q2KDFF

pith:2016:B6Q2KDFFF4WO5J6PUAPGRAHM6Y
not attested not anchored not stored refs pending

Asymptotic Localization in the Bose-Hubbard Model

Alex Bols, Wojciech De Roeck

arxiv:1612.04731 v1 · 2016-12-14 · math-ph · cond-mat.stat-mech · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{B6Q2KDFFF4WO5J6PUAPGRAHM6Y}

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 2026-05-18T00:54:58.728357Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0fa1a50ca52f2ceea7cfa01e6880ecf638bc9528db95d296af8b4714ce9852d6

Aliases

arxiv: 1612.04731 · arxiv_version: 1612.04731v1 · doi: 10.48550/arxiv.1612.04731 · pith_short_12: B6Q2KDFFF4WO · pith_short_16: B6Q2KDFFF4WO5J6P · pith_short_8: B6Q2KDFF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/B6Q2KDFFF4WO5J6PUAPGRAHM6Y \
  | 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: 0fa1a50ca52f2ceea7cfa01e6880ecf638bc9528db95d296af8b4714ce9852d6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e1f378437950f46a0db848ac636b92f7252e6f3358a48e8e3ef793ab2853748d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-14T17:12:57Z",
    "title_canon_sha256": "cd9daa4f49e8bdf4b70391e0a79e58e32f635ed574a4a8dd3de4b3d0d4590387"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04731",
    "kind": "arxiv",
    "version": 1
  }
}