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Pith Number

pith:Y77PJ7A5

pith:2017:Y77PJ7A53TNK5N3263RJ4QQD3W
not attested not anchored not stored refs pending

Criteria for the Absence and Existence of Bounded Solutions at the Threshold Frequency in a Junction of Quantum Waveguides

Fedor L. Bakharev, Sergei A. Nazarov

arxiv:1705.10481 v2 · 2017-05-30 · math.SP · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Y77PJ7A53TNK5N3263RJ4QQD3W}

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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 2026-05-18T00:28:35.463489Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c7fef4fc1ddcdaaeb77af6e29e4203dd8e1b147ef3c46a8d104c13aea21febd2

Aliases

arxiv: 1705.10481 · arxiv_version: 1705.10481v2 · doi: 10.48550/arxiv.1705.10481 · pith_short_12: Y77PJ7A53TNK · pith_short_16: Y77PJ7A53TNK5N32 · pith_short_8: Y77PJ7A5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y77PJ7A53TNK5N3263RJ4QQD3W \
  | 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: c7fef4fc1ddcdaaeb77af6e29e4203dd8e1b147ef3c46a8d104c13aea21febd2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "df5d0984cf196e5e28d0eedf303d4c8ea8d9178588b231eb88ab2299b6c5d746",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-05-30T07:18:05Z",
    "title_canon_sha256": "0e86ac47ce4588f97cb64204c157ca7eca5333f9b558630a0cb39fbf1c880df6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10481",
    "kind": "arxiv",
    "version": 2
  }
}