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Pith Number

pith:52ZFEIP4

pith:2015:52ZFEIP43BKEO6UJL7V275RNZV
not attested not anchored not stored refs pending

Weakly bound states in heterogeneous waveguides

Christoph P. Hofmann, Francisco M. Fernandez, Paolo Amore

arxiv:1511.07104 v1 · 2015-11-23 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{52ZFEIP43BKEO6UJL7V275RNZV}

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 2026-05-18T01:10:52.000894Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

eeb25221fcd854477a895febaff62dcd413b2ece7d4d1d9a12d6bc6eb95de581

Aliases

arxiv: 1511.07104 · arxiv_version: 1511.07104v1 · doi: 10.48550/arxiv.1511.07104 · pith_short_12: 52ZFEIP43BKE · pith_short_16: 52ZFEIP43BKEO6UJ · pith_short_8: 52ZFEIP4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/52ZFEIP43BKEO6UJL7V275RNZV \
  | 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: eeb25221fcd854477a895febaff62dcd413b2ece7d4d1d9a12d6bc6eb95de581
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b0cbd13d849f47b3492d11af29aec95699d855215bc9448273e1b5f2c0efcad7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-23T03:39:45Z",
    "title_canon_sha256": "b9b437153b4bd5e6ffb04723292e33ffbcd9eb1229cafb3a76dbdc009dbff754"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07104",
    "kind": "arxiv",
    "version": 1
  }
}