pith. sign in
Pith Number

pith:AW4MXLLF

pith:2016:AW4MXLLFTPKYBTNSUOPZLYDZRP
not attested not anchored not stored refs pending

Interacting bosons in a double-well potential : localization regime

Dominique Spehner (LPMMC, If), Nicolas Rougerie (LPMMC)

arxiv:1612.05758 v4 · 2016-12-17 · math-ph · cond-mat.quant-gas · math.AP · math.MP · math.SP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AW4MXLLFTPKYBTNSUOPZLYDZRP}

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 2026-05-18T00:21:29.014020Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

05b8cbad659bd580cdb2a39f95e0798bcef5e0a555329e47ae4fc1a57e6a110b

Aliases

arxiv: 1612.05758 · arxiv_version: 1612.05758v4 · doi: 10.48550/arxiv.1612.05758 · pith_short_12: AW4MXLLFTPKY · pith_short_16: AW4MXLLFTPKYBTNS · pith_short_8: AW4MXLLF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AW4MXLLFTPKYBTNSUOPZLYDZRP \
  | 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: 05b8cbad659bd580cdb2a39f95e0798bcef5e0a555329e47ae4fc1a57e6a110b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "21d825b0638b4824431278d11053e7dd71e404cb97e60c246a44674078e890fd",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-17T13:40:32Z",
    "title_canon_sha256": "85268f141d6dbbef4c9b28b2e14f5243878134f57e3f8adc1c8dddaca992d3ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05758",
    "kind": "arxiv",
    "version": 4
  }
}