Pith Number

pith:K5MDZNR2

pith:2025:K5MDZNR2Z43MXEND2K6LDLJDRX

not attested not anchored not stored refs resolved

Numerical Optimization of Planar Nozzle Shapes for Fused Deposition Modeling

Felipe A. Gonz\'alez, Stefanie Elgeti, Steffen Tillmann

Angle-based optimization of FDM nozzle shapes captures most pressure-loss reductions, while spline parametrization adds only marginal gains at the expense of manufacturability.

arxiv:2511.21449 v2 · 2025-11-26 · cs.CE

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\pithnumber{K5MDZNR2Z43MXEND2K6LDLJDRX}

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3 Author claim open · sign in to claim

4 Citations open

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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.

Claims

C1strongest claim

The spline-based parametrization results in only marginal additional reductions in pressure loss compared to angle optimization, while decreasing the manufacturability of the nozzle considerably.

C2weakest assumption

That recirculation regions inside the nozzle are undesirable due to increased residence times and risk of material degradation and clogging, and that minimizing pressure loss is the dominant objective for high-speed FDM performance.

C3one line summary

Angle-based nozzle optimization captures most pressure-loss reductions in FDM extrusion; spline parametrization adds only marginal gains at the cost of manufacturability.

References

15 extracted · 15 resolved · 0 Pith anchors

[1] Fused deposition modelling: current status, methodology, applications and future prospects, addit 2021

[2] PhD thesis, Dissertation, Rheinisch-Westf¨ alische Technische Hochschule Aachen, 2023, 2023

[3] Simulation of a downsized fdm nozzle 2015

[4] 3d printer nozzle design and its parameters: a systematic review 2019

[6] Lukasz Miazio 2023 · doi:10.1016/j.addma.2023.103939

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-17T23:39:00.674075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57583cb63acf36cb91a3d2bcb1ad238dc3d3b9901c0e821df5be1bec58b847ff

Aliases

arxiv: 2511.21449 · arxiv_version: 2511.21449v2 · doi: 10.48550/arxiv.2511.21449 · pith_short_12: K5MDZNR2Z43M · pith_short_16: K5MDZNR2Z43MXEND · pith_short_8: K5MDZNR2

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/K5MDZNR2Z43MXEND2K6LDLJDRX \
  | 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: 57583cb63acf36cb91a3d2bcb1ad238dc3d3b9901c0e821df5be1bec58b847ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eaee5cbddb277579e4c8726d10b303dd0d4c4f410268ae38a75b5e3d879235f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2025-11-26T14:40:23Z",
    "title_canon_sha256": "ddb0a0beda9b980ec8c30cec7f68cd173c845d37663a22e1f0a2c8573713ac60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.21449",
    "kind": "arxiv",
    "version": 2
  }
}