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Pith Number

pith:YOCJZYOS

pith:2025:YOCJZYOS6OEFL37JEL2HT63M66
not attested not anchored not stored refs pending

Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators

Christoph Fischbacher, Houssam Abdul-Rahman, Jake Fillman, Wencai Liu

arxiv:2509.04381 v1 · 2025-09-04 · math-ph · math.MP · math.SP

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\usepackage{pith}
\pithnumber{YOCJZYOS6OEFL37JEL2HT63M66}

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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.

Cited by

2 papers in Pith

Receipt and verification
First computed 2026-07-05T12:04:58.650681Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c3849ce1d2f38855efe922f479fb6cf7908778386c0833f607e3bc6768a3a40d

Aliases

arxiv: 2509.04381 · arxiv_version: 2509.04381v1 · doi: 10.48550/arxiv.2509.04381 · pith_short_12: YOCJZYOS6OEF · pith_short_16: YOCJZYOS6OEFL37J · pith_short_8: YOCJZYOS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YOCJZYOS6OEFL37JEL2HT63M66 \
  | 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: c3849ce1d2f38855efe922f479fb6cf7908778386c0833f607e3bc6768a3a40d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d7c8c453ce4c51a3e65717a8b775bbf97f3810e9b3ee3910c075afef7bfa68d4",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-09-04T16:42:27Z",
    "title_canon_sha256": "03a0b810ce5c95c01b97c2398329adff7a772ace7d7a8ad8bada043633c8bf22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04381",
    "kind": "arxiv",
    "version": 1
  }
}