Pith Number

pith:BIVLD5KC

pith:2026:BIVLD5KCBFQ2UISEPTBU46UH5J

not attested not anchored not stored refs resolved

Identifiability Limits in Ultrasonic Microstructure Characterisation: A Canonical and Stochastic Framework

Wei Yi Yeoh

Identifiability limits in ultrasonic microstructure characterization arise from forward-map structure and intrinsic variability rather than rank deficiency alone.

arxiv:2605.13057 v1 · 2026-05-13 · physics.app-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BIVLD5KCBFQ2UISEPTBU46UH5J}

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.

Claims

C1strongest claim

identifiability limits are governed primarily by forward-map structure and intrinsic variability, with direct implications for observable selection and measurement design.

C2weakest assumption

The surrogate microstructures represented by Gaussian random fields adequately capture the essential statistical properties of real materials, and the forward map from D and T to attenuation and velocity observables remains structurally full rank under these modeling choices.

C3one line summary

Identifiability limits in ultrasonic microstructure characterization are governed by forward-map structure and intrinsic stochastic variability, with combined observables improving conditioning through complementary sensitivities.

References

80 extracted · 80 resolved · 0 Pith anchors

[1] Rose.Unbounded Isotropic and Anisotropic Media 1999

[2] Fred E. Stanke and G. S. Kino. A unified theory for elastic wave propagation in polycrystalline materials.The Journal of the Acoustical Society of America, 75(3):665–681, 1984. ISSN 0001-4966. doi: 10 1984 · doi:10.1121/1.390577

[3] Richard L. Weaver. Diffusivity of Ultrasound in Polycrystals.Journal of the Mechanics and Physics of Solids, 38(1):55–86, 1990. doi: 10.1007/978-3-662-44324-8_1289 1990 · doi:10.1007/978-3-662-44324-8_1289

[4] Modeling Ultrasonic Microstructural Noise in Titanium Alloys 1993

[5] BackscatteredMicrostructuralNoiseinUltrasonicToneburstInspections.Journal of Nondestructive Evaluation, 13(3):111–136 1994 · doi:10.1007/bf00728250

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:08:59.180544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a2ab1f5420961aa22447cc34e7a87ea71cd2a5518a1b30ea4b44e57b14bfcd8

Aliases

arxiv: 2605.13057 · arxiv_version: 2605.13057v1 · doi: 10.48550/arxiv.2605.13057 · pith_short_12: BIVLD5KCBFQ2 · pith_short_16: BIVLD5KCBFQ2UISE · pith_short_8: BIVLD5KC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BIVLD5KCBFQ2UISEPTBU46UH5J \
  | 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: 0a2ab1f5420961aa22447cc34e7a87ea71cd2a5518a1b30ea4b44e57b14bfcd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccad180ca66b08e37df10faa7de3ddc7e49c1dc8004f35dead97197421fc3326",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.app-ph",
    "submitted_at": "2026-05-13T06:28:39Z",
    "title_canon_sha256": "84a9bcaa635cae2a145b0423c068605ede36cc6da38e12ddf54067529b5ee606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13057",
    "kind": "arxiv",
    "version": 1
  }
}